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Grundlegung einer relativistischen Problemtheorie. Wiesbaden.","DOI":"10.1007\/978-3-322-90336-5"},{"key":"21_CR26","doi-asserted-by":"crossref","unstructured":"Schetsche, M. 2014. Empirische Analyse sozialer Probleme. Das wissenssoziologische Programm. Wiesbaden..","DOI":"10.1007\/978-3-658-02280-8"},{"key":"21_CR27","doi-asserted-by":"crossref","unstructured":"Schetsche, M., R.-B. Schmidt. 2010. Gef\u00fchlte Gefahren. Sexuelle Verwahrlosung zur Einf\u00fchrung. In Sexuelle Verwahrlosung. Empirische Befunde \u2013 Gesellschaftliche Diskurse \u2013 Sozialethische Reflexionen, hrsg. v. M. Schetsche, R.-B. Schmidt, 7\u201324. Wiesbaden.","DOI":"10.1007\/978-3-531-92477-9_1"},{"key":"21_CR28","doi-asserted-by":"crossref","unstructured":"Schetsche, M., R.-B. Schmidt. 2016. Einleitung: Au\u00dfergew\u00f6hnliche Bewusstseinszust\u00e4nde in der Moderne. In Rausch \u2013 Trance \u2013 Ekstase. Zur Kultur psychischer Ausnahmezust\u00e4nde, hrsg. v. M. Schetsche, R.-B. Schmidt, 7\u201331. Bielefeld.","DOI":"10.14361\/9783839431856-001"},{"key":"21_CR29","unstructured":"Schetsche, M., I. Schmied-Knittel. 2013. Deutungsmuster im Diskurs. Zur M\u00f6glichkeit der Integration der Deutungsmusteranalyse in die Wissenssoziologische Diskursanalyse. Zeitschrift f\u00fcr Diskursforschung 1: 24\u201345."},{"key":"21_CR30","doi-asserted-by":"crossref","unstructured":"Schmied-Knittel, I. 2016. Drogenfreie Zone. Zur Rauschkultur der DDR. In Rausch \u2013 Trance \u2013 Ekstase. Zur Kultur psychischer Ausnahmezust\u00e4nde, hrsg. v. M. Schetsche, R.-B. Schmidt, 51\u201371. Bielefeld.","DOI":"10.14361\/9783839431856-003"},{"key":"21_CR31","doi-asserted-by":"crossref","unstructured":"Sch\u00fctz, A. 1971. \u00dcber die mannigfaltigen Wirklichkeiten. In Gesammelte Aufs\u00e4tze (Bd. 1): Das Problem der sozialen Wirklichkeit, hrsg. v. A. Sch\u00fctz, 237\u2013298. Den Haag.","DOI":"10.1007\/978-94-010-2858-5_9"},{"key":"21_CR32","unstructured":"Sch\u00fctz, A., T. Luckmann. [1979] 2003. Strukturen der Lebenswelt. Konstanz."},{"key":"21_CR33","unstructured":"Walter, S., M. Schetsche. 2003. Internetsucht \u2013 eine konstruktionistische Fallstudie. Soziale Probleme 14: 5\u201340."},{"key":"21_CR34","unstructured":"Vaitl, D. 2012. Ver\u00e4nderte Bewusstseinszust\u00e4nde. Grundlagen \u2013 Techniken \u2013 Ph\u00e4nomenologie. Stuttgart."},{"key":"21_CR35","doi-asserted-by":"crossref","unstructured":"Woolgar, S., D. Pawluch. 1985. Ontological Gerrymandering: The Anatomy of Social Problems Explanations. Social Problems 32: 214\u2013227.","DOI":"10.1525\/sp.1985.32.3.03a00020"}],"container-title":["Handbuch Drogen in sozial- und kulturwissenschaftlicher Perspektive"],"language":"de","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-658-22138-6_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,24]],"date-time":"2019-10-24T21:09:02Z","timestamp":1571951342000},"score":0.0,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-658-22138-6_21"}},"issued":{"date-parts":[[2018,9,29]]},"ISBN":["9783658221379","9783658221386"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-658-22138-6_21","published":{"date-parts":[[2018,9,29]]},"assertion":[{"value":"29 September 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]},{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T07:40:30Z","timestamp":1680334830468},"reference-count":19,"publisher":"Walter de Gruyter GmbH","issue":"3","funder":[{"DOI":"10.13039\/501100003392","name":"Natural Science Foundation of Fujian Province","doi-asserted-by":"publisher","award":["2018J01658"],"award-info":[{"award-number":["2018J01658"]}],"id":[{"id":"10.13039\/501100003392","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2021,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The purpose of this paper is to study the problems of meromorphic functions\nsharing unique range sets with one or two elements, which can be seen as a new answer to a question due to Gross.\nThe examples also illustrate the accuracy of all of the conditions.<\/jats:p>","DOI":"10.1515\/gmj-2019-2073","type":"journal-article","created":{"date-parts":[[2019,12,19]],"date-time":"2019-12-19T09:34:31Z","timestamp":1576748071000},"page":"349-354","source":"Crossref","is-referenced-by-count":1,"title":["Meromorphic functions sharing unique range sets with one or two elements"],"prefix":"10.1515","volume":"28","author":[{"given":"Jun-Fan","family":"Chen","sequence":"first","affiliation":[{"name":"College of Mathematics and Informatics , Fujian Key Laboratory of Mathematical Analysis and Applications , Fujian Normal University , Fuzhou 350117 , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2019,12,19]]},"reference":[{"key":"2023033119370865500_j_gmj-2019-2073_ref_001_w2aab3b7e1160b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"J.-F.  Chen,\nUniqueness of meromorphic functions sharing two finite sets,\nOpen Math. 15 (2017), no. 1, 1244\u20131250.","DOI":"10.1515\/math-2017-0102"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_002_w2aab3b7e1160b1b6b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"J. B.  Conway,\nFunctions of one Complex Variable,\nGrad. Texts in Math. 11,\nSpringer, New York, 1973.","DOI":"10.1007\/978-1-4615-9972-2_2"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_003_w2aab3b7e1160b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"W.  Doeringer,\nExceptional values of differential polynomials,\nPacific J. Math. 98 (1982), no. 1, 55\u201362.","DOI":"10.2140\/pjm.1982.98.55"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_004_w2aab3b7e1160b1b6b1ab2ab4Aa","unstructured":"M.  Fang and W.  Xu,\nOn the uniqueness of entire functions,\nBull. Malaysian Math. Soc. (2) 19 (1996), no. 1, 29\u201337."},{"key":"2023033119370865500_j_gmj-2019-2073_ref_005_w2aab3b7e1160b1b6b1ab2ab5Aa","doi-asserted-by":"crossref","unstructured":"M.-L.  Fang and H.  Guo,\nOn meromorphic functions sharing two values,\nAnalysis 17 (1997), no. 4, 355\u2013366.","DOI":"10.1524\/anly.1997.17.4.355"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_006_w2aab3b7e1160b1b6b1ab2ab6Aa","doi-asserted-by":"crossref","unstructured":"G.  Frank and M.  Reinders,\nA unique range set for meromorphic functions with 11 elements,\nComplex Variables Theory Appl. 37 (1998), no. 1\u20134, 185\u2013193.","DOI":"10.1080\/17476939808815132"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_007_w2aab3b7e1160b1b6b1ab2ab7Aa","doi-asserted-by":"crossref","unstructured":"H.  Fujimoto,\nOn uniqueness of meromorphic functions sharing finite sets,\nAmer. J. Math. 122 (2000), no. 6, 1175\u20131203.","DOI":"10.1353\/ajm.2000.0045"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_008_w2aab3b7e1160b1b6b1ab2ab8Aa","doi-asserted-by":"crossref","unstructured":"F.  Gross,\nFactorization of meromorphic functions and some open problems,\nComplex Analysis (Lexington 1976),\nLecture Notes in Math. 599,\nSpringer, Berlin (1977), 51\u201367.","DOI":"10.1007\/BFb0096825"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_009_w2aab3b7e1160b1b6b1ab2ab9Aa","unstructured":"W. K.  Hayman,\nMeromorphic Functions,\nOxford Math. Monogr.,\nClarendon Press, Oxford, 1964."},{"key":"2023033119370865500_j_gmj-2019-2073_ref_010_w2aab3b7e1160b1b6b1ab2ac10Aa","doi-asserted-by":"crossref","unstructured":"P.  Li and C.-C.  Yang,\nSome further results on the unique range sets of meromorphic functions,\nKodai Math. J. 18 (1995), no. 3, 437\u2013450.","DOI":"10.2996\/kmj\/1138043482"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_011_w2aab3b7e1160b1b6b1ab2ac11Aa","doi-asserted-by":"crossref","unstructured":"P.  Li and C.-C.  Yang,\nOn the unique range set of meromorphic functions,\nProc. Amer. Math. Soc. 124 (1996), no. 1, 177\u2013185.","DOI":"10.1090\/S0002-9939-96-03045-6"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_012_w2aab3b7e1160b1b6b1ab2ac12Aa","doi-asserted-by":"crossref","unstructured":"E.  Mues and M.  Reinders,\nMeromorphic functions sharing one value and unique range sets,\nKodai Math. J. 18 (1995), no. 3, 515\u2013522.","DOI":"10.2996\/kmj\/1138043489"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_013_w2aab3b7e1160b1b6b1ab2ac13Aa","doi-asserted-by":"crossref","unstructured":"C.-C.  Yang and H.-X.  Yi,\nUniqueness Theory of Meromorphic Functions,\nMath. Appl. 557,\nKluwer Academicp, Dordrecht, 2003.","DOI":"10.1007\/978-94-017-3626-8"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_014_w2aab3b7e1160b1b6b1ab2ac14Aa","doi-asserted-by":"crossref","unstructured":"L.-Z.  Yang,\nMeromorphic functions that share two values,\nJ. Math. Anal. Appl. 209 (1997), no. 2, 542\u2013550.","DOI":"10.1006\/jmaa.1997.5329"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_015_w2aab3b7e1160b1b6b1ab2ac15Aa","unstructured":"B.  Yi and Y. H.  Li,\nUniqueness of meromorphic functions that share two sets with CM,\nActa Math. Sinica (Chin. Ser.) 55 (2012), no. 2, 363\u2013368."},{"key":"2023033119370865500_j_gmj-2019-2073_ref_016_w2aab3b7e1160b1b6b1ab2ac16Aa","unstructured":"H. X.  Yi,\nUniqueness of meromorphic functions and question of Gross,\nSci. China Ser. A 37 (1994), no. 7, 802\u2013813."},{"key":"2023033119370865500_j_gmj-2019-2073_ref_017_w2aab3b7e1160b1b6b1ab2ac17Aa","doi-asserted-by":"crossref","unstructured":"H. X.  Yi,\nUnicity theorems for meromorphic or entire functions. II,\nBull. Aust. Math. Soc. 52 (1995), no. 2, 215\u2013224.","DOI":"10.1017\/S0004972700014635"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_018_w2aab3b7e1160b1b6b1ab2ac18Aa","doi-asserted-by":"crossref","unstructured":"H.-X.  Yi,\nOn a question of Gross concerning uniqueness of entire functions,\nBull. Aust. Math. Soc. 57 (1998), no. 2, 343\u2013349.","DOI":"10.1017\/S0004972700031701"},{"key":"2023033119370865500_j_gmj-2019-2073_ref_019_w2aab3b7e1160b1b6b1ab2ac19Aa","unstructured":"H. X.  Yi,\nMeromorphic functions that share two sets,\nActa Math. Sinica (Chin. Ser.) 45 (2002), no. 1, 75\u201382."}],"container-title":["Georgian Mathematical Journal"],"language":"en","link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/gmj.ahead-of-print\/gmj-2019-2073\/gmj-2019-2073.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gmj-2019-2073\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gmj-2019-2073\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T07:22:02Z","timestamp":1680333722000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gmj-2019-2073\/html"}},"issued":{"date-parts":[[2019,12,19]]},"references-count":19,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2020,11,7]]},"published-print":{"date-parts":[[2021,6,1]]}},"alternative-id":["10.1515\/gmj-2019-2073"],"URL":"https:\/\/doi.org\/10.1515\/gmj-2019-2073","ISSN":["1572-9176","1072-947X"],"issn-type":[{"value":"1572-9176","type":"electronic"},{"value":"1072-947X","type":"print"}],"published":{"date-parts":[[2019,12,19]]}},{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T08:40:51Z","timestamp":1680338451022},"reference-count":5,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"DOI":"10.13039\/501100004801","name":"Shota Rustaveli National Science Foundation","doi-asserted-by":"publisher","award":["217-614"],"award-info":[{"award-number":["217-614"]}],"id":[{"id":"10.13039\/501100004801","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Let <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9999_w2aab3b7b6b1b6b1aab1c16b1b1Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>Y<\/m:mi>\n                              <m:mo>=<\/m:mo>\n                              <m:mrow>\n                                 <m:mo>|<\/m:mo>\n                                 <m:mi>X<\/m:mi>\n                                 <m:mo>|<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0104.png\" \/>\n                        <jats:tex-math>{Y=\\lvert X\\rvert}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> be the geometric realization of a path-connected simplicial set <jats:italic>X<\/jats:italic>, and let <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9998_w2aab3b7b6b1b6b1aab1c16b1b5Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>G<\/m:mi>\n                              <m:mo>=<\/m:mo>\n                              <m:mrow>\n                                 <m:msub>\n                                    <m:mi>\u03c0<\/m:mi>\n                                    <m:mn>1<\/m:mn>\n                                 <\/m:msub>\n                                 <m:mo>\u2062<\/m:mo>\n                                 <m:mrow>\n                                    <m:mo>(<\/m:mo>\n                                    <m:mi>X<\/m:mi>\n                                    <m:mo>)<\/m:mo>\n                                 <\/m:mrow>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0079.png\" \/>\n                        <jats:tex-math>{G=\\pi_{1}(X)}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> be the fundamental group.\nGiven a subgroup <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9997_w2aab3b7b6b1b6b1aab1c16b1b7Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>H<\/m:mi>\n                              <m:mo>\u2282<\/m:mo>\n                              <m:mi>G<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0084.png\" \/>\n                        <jats:tex-math>{H\\subset G}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, let <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9996_w2aab3b7b6b1b6b1aab1c16b1b9Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>G<\/m:mi>\n                              <m:mo>\/<\/m:mo>\n                              <m:mi>H<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0078.png\" \/>\n                        <jats:tex-math>{G\/H}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> be the set of cosets.\nUsing the combinatorial model <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9995_w2aab3b7b6b1b6b1aab1c16b1c11Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mrow>\n                                 <m:mi>\ud835\udec0<\/m:mi>\n                                 <m:mo>\u2062<\/m:mo>\n                                 <m:mi>X<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mrow>\n                                 <m:mi>\ud835\udc0f<\/m:mi>\n                                 <m:mo>\u2062<\/m:mo>\n                                 <m:mi>X<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mi>X<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0124.png\" \/>\n                        <jats:tex-math>{\\boldsymbol{\\Omega}X\\to\\mathbf{P}X\\to X}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> of the path fibration <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9994_w2aab3b7b6b1b6b1aab1c16b1c13Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mrow>\n                                 <m:mi>\u03a9<\/m:mi>\n                                 <m:mo>\u2062<\/m:mo>\n                                 <m:mi>Y<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mrow>\n                                 <m:mi>P<\/m:mi>\n                                 <m:mo>\u2062<\/m:mo>\n                                 <m:mi>Y<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mi>Y<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0234.png\" \/>\n                        <jats:tex-math>{{\\Omega}Y\\to{P}Y\\to Y}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> and a canonical action <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9993_w2aab3b7b6b1b6b1aab1c16b1c15Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>\u03bc<\/m:mi>\n                              <m:mo>:<\/m:mo>\n                              <m:mrow>\n                                 <m:mrow>\n                                    <m:mrow>\n                                       <m:mrow>\n                                          <m:mi>\ud835\udec0<\/m:mi>\n                                          <m:mo>\u2062<\/m:mo>\n                                          <m:mi>X<\/m:mi>\n                                       <\/m:mrow>\n                                       <m:mo>\u00d7<\/m:mo>\n                                       <m:mi>G<\/m:mi>\n                                    <\/m:mrow>\n                                    <m:mo>\/<\/m:mo>\n                                    <m:mi>H<\/m:mi>\n                                 <\/m:mrow>\n                                 <m:mo>\u2192<\/m:mo>\n                                 <m:mrow>\n                                    <m:mi>G<\/m:mi>\n                                    <m:mo>\/<\/m:mo>\n                                    <m:mi>H<\/m:mi>\n                                 <\/m:mrow>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0140.png\" \/>\n                        <jats:tex-math>{\\mu\\colon\\boldsymbol{\\Omega}X\\times G\/H\\to G\/H}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, we construct a covering map <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9992_w2aab3b7b6b1b6b1aab1c16b1c17Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mrow>\n                                 <m:mi>G<\/m:mi>\n                                 <m:mo>\/<\/m:mo>\n                                 <m:mi>H<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:msub>\n                                 <m:mi>Y<\/m:mi>\n                                 <m:mi>H<\/m:mi>\n                              <\/m:msub>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mi>Y<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0075.png\" \/>\n                        <jats:tex-math>{G\/H\\to Y_{H}\\to Y}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> as the geometric realization of the associated short sequence <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9991_w2aab3b7b6b1b6b1aab1c16b1c19Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mrow>\n                                 <m:mi>G<\/m:mi>\n                                 <m:mo>\/<\/m:mo>\n                                 <m:mi>H<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mrow>\n                                 <m:mrow>\n                                    <m:mrow>\n                                       <m:mi>\ud835\udc0f<\/m:mi>\n                                       <m:mo>\u2062<\/m:mo>\n                                       <m:mi>X<\/m:mi>\n                                    <\/m:mrow>\n                                    <m:msub>\n                                       <m:mo>\u00d7<\/m:mo>\n                                       <m:mi>\u03bc<\/m:mi>\n                                    <\/m:msub>\n                                    <m:mi>G<\/m:mi>\n                                 <\/m:mrow>\n                                 <m:mo>\/<\/m:mo>\n                                 <m:mi>H<\/m:mi>\n                              <\/m:mrow>\n                              <m:mo>\u2192<\/m:mo>\n                              <m:mi>X<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0076.png\" \/>\n                        <jats:tex-math>{G\/H\\to\\mathbf{P}X\\times_{\\mu}G\/H\\to X}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>.\nThis construction, in particular, does not use the existence of a maximal tree in <jats:italic>X<\/jats:italic>.\nFor a 2-dimensional <jats:italic>X<\/jats:italic> and <jats:inline-formula id=\"j_gmj-2019-2016_ineq_9990_w2aab3b7b6b1b6b1aab1c16b1c25Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>H<\/m:mi>\n                              <m:mo>=<\/m:mo>\n                              <m:mrow>\n                                 <m:mo>{<\/m:mo>\n                                 <m:mn>1<\/m:mn>\n                                 <m:mo>}<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_gmj-2019-2016_eq_0083.png\" \/>\n                        <jats:tex-math>{H=\\{1\\}}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, it can also be viewed as a simplicial approximation of a Cayley 2-complex of <jats:italic>G<\/jats:italic>.<\/jats:p>","DOI":"10.1515\/gmj-2019-2016","type":"journal-article","created":{"date-parts":[[2019,4,7]],"date-time":"2019-04-07T02:48:35Z","timestamp":1554605315000},"page":"303-309","source":"Crossref","is-referenced-by-count":0,"title":["On the construction of a covering map"],"prefix":"10.1515","volume":"26","author":[{"given":"Samson","family":"Saneblidze","sequence":"first","affiliation":[{"name":"A. Razmadze Mathematical Institute , I. Javakhishvili Tbilisi State University , 6 Tamarashvili Str. , Tbilisi 0177 , Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2019,4,6]]},"reference":[{"key":"2023033120034825975_j_gmj-2019-2016_ref_001_w2aab3b7b6b1b6b1ab1b4b1Aa","doi-asserted-by":"crossref","unstructured":"M.  Gromov,\nHomotopical effects of dilatation,\nJ. Differential Geom. 13 (1978), no. 3, 303\u2013310.\n10.4310\/jdg\/1214434601","DOI":"10.4310\/jdg\/1214434601"},{"key":"2023033120034825975_j_gmj-2019-2016_ref_002_w2aab3b7b6b1b6b1ab1b4b2Aa","doi-asserted-by":"crossref","unstructured":"T.  Kadeishvili and S.  Saneblidze,\nA cubical model for a fibration,\nJ. Pure Appl. Algebra 196 (2005), no. 2\u20133, 203\u2013228.\n10.1016\/j.jpaa.2004.08.017","DOI":"10.1016\/j.jpaa.2004.08.017"},{"key":"2023033120034825975_j_gmj-2019-2016_ref_003_w2aab3b7b6b1b6b1ab1b4b3Aa","doi-asserted-by":"crossref","unstructured":"R. C.  Lyndon and P. E.  Schupp,\nCombinatorial Group Theory,\nClassics Math.,\nSpringer, Berlin, 2001.","DOI":"10.1007\/978-3-642-61896-3"},{"key":"2023033120034825975_j_gmj-2019-2016_ref_004_w2aab3b7b6b1b6b1ab1b4b4Aa","doi-asserted-by":"crossref","unstructured":"J.  Milnor,\nConstruction of universal bundles. I,\nAnn. of Math. (2) 63 (1956), 272\u2013284.\n10.2307\/1969609","DOI":"10.2307\/1969609"},{"key":"2023033120034825975_j_gmj-2019-2016_ref_005_w2aab3b7b6b1b6b1ab1b4b5Aa","doi-asserted-by":"crossref","unstructured":"M.  Rivera and S.  Saneblidze,\nA combinatorial model for the path fibration,\nJ. Homotopy Relat. Struct. (2018), 10.1007\/s40062-018-0216-4.","DOI":"10.1007\/s40062-018-0216-4"}],"container-title":["Georgian Mathematical Journal"],"language":"en","link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/gmj.2019.26.issue-2\/gmj-2019-2016\/gmj-2019-2016.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gmj-2019-2016\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gmj-2019-2016\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T08:08:07Z","timestamp":1680336487000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gmj-2019-2016\/html"}},"issued":{"date-parts":[[2019,4,6]]},"references-count":5,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2019,5,16]]},"published-print":{"date-parts":[[2019,6,1]]}},"alternative-id":["10.1515\/gmj-2019-2016"],"URL":"https:\/\/doi.org\/10.1515\/gmj-2019-2016","ISSN":["1572-9176","1072-947X"],"issn-type":[{"value":"1572-9176","type":"electronic"},{"value":"1072-947X","type":"print"}],"published":{"date-parts":[[2019,4,6]]}},{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T14:11:18Z","timestamp":1680358278477},"reference-count":34,"publisher":"Walter de Gruyter GmbH","issue":"5","funder":[{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research","doi-asserted-by":"publisher","award":["17-01-00525"],"award-info":[{"award-number":["17-01-00525"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2018,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider the inverse scattering problem in a layer-homogeneous elastic structure filling a half-plane. Scattering data is the seismic wave field registered on the boundary with a surface point source. We prove that velocities of longitudinal and transverse waves, and a density of the medium are recovered by a unique way. The algorithm of the inverse problem solution is based on the \u03c4-<jats:italic>p<\/jats:italic> Radon transform. Also, we present some results of numerical modeling for waves propagation and solving of the inverse problem.<\/jats:p>","DOI":"10.1515\/jiip-2017-0083","type":"journal-article","created":{"date-parts":[[2018,4,12]],"date-time":"2018-04-12T08:36:51Z","timestamp":1523522211000},"page":"607-622","source":"Crossref","is-referenced-by-count":0,"title":["Solution of the inverse seismic problem in a layered elastic medium by means of the \u03c4-<i>p<\/i> Radon transform"],"prefix":"10.1515","volume":"26","author":[{"given":"Andrey V.","family":"Baev","sequence":"first","affiliation":[{"name":"Lomonosov Moscow State University , Moscow , Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2018,3,13]]},"reference":[{"key":"2023040100065751525_j_jiip-2017-0083_ref_001_w2aab3b7b5b1b6b1ab1b6b1Aa","unstructured":"A. S.  Alekseev and A. G.  Megrabov,\nDirect and inverse scattering problems of plane waves in inhomogeneous layers (in Russian),\nMat. Problemy Geofiz. (1972), no. 3, 8\u201336."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_002_w2aab3b7b5b1b6b1ab1b6b2Aa","doi-asserted-by":"crossref","unstructured":"A. V.  Baev,\nA method of solving the inverse scattering problem for the wave equation,\nComp. Math. Math. Phys. 28 (1988), no. 1, 15\u201321.\n10.1016\/0041-5553(88)90211-X","DOI":"10.1016\/0041-5553(88)90211-X"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_003_w2aab3b7b5b1b6b1ab1b6b3Aa","unstructured":"A. V.  Baev,\nOn the solution of the inverse problem of scattering of a plane wave by a layered-inhomogeneous medium,\nSov. Phys. Dokl. 32 (1988), no. 1, 26\u201328."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_004_w2aab3b7b5b1b6b1ab1b6b4Aa","doi-asserted-by":"crossref","unstructured":"A. V.  Baev,\nOn the solution of the inverse boundary value problem for the wave equation with a discontinuous coefficient,\nComp. Math. Math. Phys. 28 (1988), no. 6, 11\u201321.\n10.1016\/0041-5553(88)90037-7","DOI":"10.1016\/0041-5553(88)90037-7"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_005_w2aab3b7b5b1b6b1ab1b6b5Aa","doi-asserted-by":"crossref","unstructured":"A. V.  Baev,\nOn t-local solvability of inverse scattering problems in two dimensional layered media,\nComp. Math. Math. Phys. 55 (2015), no. 6, 1033\u20131050.\n10.1134\/S0965542515060032","DOI":"10.1134\/S0965542515060032"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_006_w2aab3b7b5b1b6b1ab1b6b6Aa","doi-asserted-by":"crossref","unstructured":"A. V.  Baev,\nSolution of an inverse scattering problem for the acoustic wave equation in three-dimensional media,\nComp. Math. Math. Phys. 56 (2016), no. 12, 15\u201321.","DOI":"10.1134\/S0965542516120034"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_007_w2aab3b7b5b1b6b1ab1b6b7Aa","doi-asserted-by":"crossref","unstructured":"A. V.  Baev and N. V.  Kutsenko,\nSolving the inverse generalized problem of vertical seismic profiling,\nComput. Math. Model. 15 (2004), no. 1, 1\u201318.\n10.1023\/B:COMI.0000011680.61982.4f","DOI":"10.1023\/B:COMI.0000011680.61982.4f"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_008_w2aab3b7b5b1b6b1ab1b6b8Aa","doi-asserted-by":"crossref","unstructured":"A. V.  Baev and N. V.  Kutsenko,\nIdentification of a dissipation coefficient by a variational method,\nComp. Math. Math. Phys. 46 (2006), no. 1, 1796\u20131807.\n10.1134\/S0965542506100150","DOI":"10.1134\/S0965542506100150"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_009_w2aab3b7b5b1b6b1ab1b6b9Aa","doi-asserted-by":"crossref","unstructured":"E. N.  Bessonova, V. M.  Fishman, V. Z.  Ryaboy and G. A.  Sitnikova,\nThe tau method for inversion of travel times 1. Deep seismic sounding data,\nGeophys. J. R. Astron. Soc. 36 (1974), 377\u2013398.\n10.1111\/j.1365-246X.1974.tb03646.x","DOI":"10.1111\/j.1365-246X.1974.tb03646.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_010_w2aab3b7b5b1b6b1ab1b6c10Aa","unstructured":"A. S.  Blagoveshchenskii,\nOn local method for solving of nonstationary inverse problem for inhomogeneous string (in Russian),\nTrudy MIAN V. A. Steklova 115 (1971), 28\u201338."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_011_w2aab3b7b5b1b6b1ab1b6c11Aa","doi-asserted-by":"crossref","unstructured":"T. M.  Brocher and R. A.  Phinney,\nInversion of slant stacks using finite-length record sections,\nJ. Geophys. Res. 86 (1981), 7065\u20137072.\n10.1029\/JB086iB08p07065","DOI":"10.1029\/JB086iB08p07065"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_012_w2aab3b7b5b1b6b1ab1b6c12Aa","doi-asserted-by":"crossref","unstructured":"C. H.  Chapman,\nA new method for computing synthetic seismograms,\nGeophys. J. R. Astron. Soc. 54 (1978), 481\u2013518.\n10.1111\/j.1365-246X.1978.tb05491.x","DOI":"10.1111\/j.1365-246X.1978.tb05491.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_013_w2aab3b7b5b1b6b1ab1b6c13Aa","doi-asserted-by":"crossref","unstructured":"C. H.  Chapman,\nGeneralized radon transform and slant stacks,\nGeophys. J. R. Astron. Soc. 66 (1981), 445\u2013453.\n10.1111\/j.1365-246X.1981.tb05966.x","DOI":"10.1111\/j.1365-246X.1981.tb05966.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_014_w2aab3b7b5b1b6b1ab1b6c14Aa","unstructured":"J. F.  Claerbout,\nFundamentals of Geophysical Data Processing,\nMcGraw-Hill, New York, 1976."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_015_w2aab3b7b5b1b6b1ab1b6c15Aa","doi-asserted-by":"crossref","unstructured":"J. F.  Claerbout and A. G.  Jonson,\nExtrapolation of time dependent waveforms along their path of propagation,\nGeophys. J. R. Astron. Soc. 26 (1971), no. 1\u20134, 285\u2013295.","DOI":"10.1111\/j.1365-246X.1971.tb03402.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_016_w2aab3b7b5b1b6b1ab1b6c16Aa","doi-asserted-by":"crossref","unstructured":"R. W.  Clayton and G. A.  McMechan,\nInversion of refraction data by wavefield continuation,\nGeophys. 46 (1981), 860\u2013868.\n10.1190\/1.1441224","DOI":"10.1190\/1.1441224"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_017_w2aab3b7b5b1b6b1ab1b6c17Aa","unstructured":"A. A.  Kaufman, A. L.  Levshin and K. L.  Larner,\nAcoustic and Elastic Wave Fields in Geophysics. II,\nElsevier, New York, 2002."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_018_w2aab3b7b5b1b6b1ab1b6c18Aa","unstructured":"A. N.  Kolmogorov,\nSur l\u2019interpolation et l\u2019extrapolation des suites stationnaires,\nC. R. Acad. Sci. Paris 208 (1939), 2043\u20132045."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_019_w2aab3b7b5b1b6b1ab1b6c19Aa","doi-asserted-by":"crossref","unstructured":"M. E.  Kupps, A. J.  Harding and J. A.  Orcutt,\nA comparison of tau-transform methods,\nGeophys. 55 (1990), no. 9, 1202\u20131215.\n10.1190\/1.1442936","DOI":"10.1190\/1.1442936"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_020_w2aab3b7b5b1b6b1ab1b6c20Aa","unstructured":"M. M.  Lavrent\u2019ev, K. G.  Reznitskaia and V. G.  Iakhno,\nOne-Dimensional Inverse Problems of Mathematical Physics (in Russian),\nNauka, Novosibirsk, 1982."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_021_w2aab3b7b5b1b6b1ab1b6c21Aa","doi-asserted-by":"crossref","unstructured":"G. A.  McMechan,\nMigration by extrapolation of time-dependent boundary value,\nGeophys. Prosp. 31 (1983), 413\u2013420.\n10.1111\/j.1365-2478.1983.tb01060.x","DOI":"10.1111\/j.1365-2478.1983.tb01060.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_022_w2aab3b7b5b1b6b1ab1b6c22Aa","doi-asserted-by":"crossref","unstructured":"G. A.  McMechan,\nP-x imaging by localized slant stacks of T-x data,\nGeophys. J. R. Astr. Soc. 72 (1983), 213\u2013221.\n10.1111\/j.1365-246X.1983.tb02813.x","DOI":"10.1111\/j.1365-246X.1983.tb02813.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_023_w2aab3b7b5b1b6b1ab1b6c23Aa","unstructured":"A. G.  Megrabov,\nMethod for restoring of density and velocity in an inhomogeneous layer as functions of the depth from a set of plane waves reflected from the layer at different angles (in Russian),\nMat. Problemy Geofiz. 5 (1974), no. 2, 78\u2013107."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_024_w2aab3b7b5b1b6b1ab1b6c24Aa","doi-asserted-by":"crossref","unstructured":"B.  Milkereit, W. D.  Mooney and W. M.  Kohler,\nInversion of seismic refraction data in planar dipping structure,\nGeophys. J. Intern. 82 (1985), no. 1, 81\u2013103.\n10.1111\/j.1365-246X.1985.tb05129.x","DOI":"10.1111\/j.1365-246X.1985.tb05129.x"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_025_w2aab3b7b5b1b6b1ab1b6c25Aa","unstructured":"W.  Nowacki,\nTheory of Elasticity (in Polish),\nPWN, Warsawa, 1970."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_026_w2aab3b7b5b1b6b1ab1b6c26Aa","doi-asserted-by":"crossref","unstructured":"I.  Psencik, V.  Cerveny and L.  Klimes,\nSeismic Waves in Laterally Inhomogeneous Media. Part I,\nBirkh\u00e4user, Berlin, 1996.","DOI":"10.1007\/978-3-0348-9213-1"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_027_w2aab3b7b5b1b6b1ab1b6c27Aa","unstructured":"V. G.  Romanov,\nInverse Problems of Mathematical Physics,\nVSP, Netherlands, 1984."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_028_w2aab3b7b5b1b6b1ab1b6c28Aa","doi-asserted-by":"crossref","unstructured":"V. G.  Romanov,\nDetermining the parameters of a stratified piecewise constant medium for the unknown shape of an impulse source,\nSib. Math. J. 48 (2007), no. 6, 1074\u20131084.\n10.1007\/s11202-007-0109-y","DOI":"10.1007\/s11202-007-0109-y"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_029_w2aab3b7b5b1b6b1ab1b6c29Aa","doi-asserted-by":"crossref","unstructured":"V. G.  Romanov,\nOn the problem of determining the parameters of a layered elastic medium and an impulse source,\nSib. Math. J. 49 (2008), no. 5, 919\u2013943.\n10.1007\/s11202-008-0090-0","DOI":"10.1007\/s11202-008-0090-0"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_030_w2aab3b7b5b1b6b1ab1b6c30Aa","doi-asserted-by":"crossref","unstructured":"P. S.  Schultz,\nVelocity estimation and downward continuation by wave front synthesis,\nGeophys. 43 (1978), 691\u2013714.\n10.1190\/1.1440847","DOI":"10.1190\/1.1440847"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_031_w2aab3b7b5b1b6b1ab1b6c31Aa","unstructured":"A. N.  Tikhonov,\nOn uniqueness of solution of the electroprospecting problem (in Russian),\nDokl. Akad. Nauk SSSR 69 (1949), no. 6, 797\u2013800."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_032_w2aab3b7b5b1b6b1ab1b6c32Aa","doi-asserted-by":"crossref","unstructured":"A. N.  Tikhonov,\nMathematical basis of the theory of electromagnetic soundings,\nComp. Math. Math. Phys. 5 (1965), no. 3, 207\u2013211.\n10.1016\/0041-5553(65)90157-6","DOI":"10.1016\/0041-5553(65)90157-6"},{"key":"2023040100065751525_j_jiip-2017-0083_ref_033_w2aab3b7b5b1b6b1ab1b6c33Aa","unstructured":"V. G.  Yakhno,\nInverse Problem for Differential Equations of Elasticity (in Russian),\nNauka, Novosibirsk, 1990."},{"key":"2023040100065751525_j_jiip-2017-0083_ref_034_w2aab3b7b5b1b6b1ab1b6c34Aa","doi-asserted-by":"crossref","unstructured":"B.  Zhou and S. A.  Greenhalgh,\nLinear and parabolic \u03c4-transforms revisited,\nGeophys. 59 (1994), no. 7, 1133\u20131149.\n10.1190\/1.1443669","DOI":"10.1190\/1.1443669"}],"container-title":["Journal of Inverse and Ill-posed Problems"],"language":"en","link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/jiip.2018.26.issue-5\/jiip-2017-0083\/jiip-2017-0083.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jiip-2017-0083\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jiip-2017-0083\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T13:56:18Z","timestamp":1680357378000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jiip-2017-0083\/html"}},"issued":{"date-parts":[[2018,3,13]]},"references-count":34,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2018,4,11]]},"published-print":{"date-parts":[[2018,10,1]]}},"alternative-id":["10.1515\/jiip-2017-0083"],"URL":"https:\/\/doi.org\/10.1515\/jiip-2017-0083","ISSN":["1569-3945","0928-0219"],"issn-type":[{"value":"1569-3945","type":"electronic"},{"value":"0928-0219","type":"print"}],"published":{"date-parts":[[2018,3,13]]}},{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T23:40:43Z","timestamp":1680306043111},"reference-count":25,"publisher":"Walter de Gruyter GmbH","issue":"5-6","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51277182"],"award-info":[{"award-number":["51277182"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2017,5,24]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A practical new type direct lightning shielding rod is designed to reduce the electromagnetic radiation produced by lightning stroking to Franklin lightning rod in the paper. The Finite-Difference Time-Domain (FDTD) method is adopted for analyzing. It is the shielding layer that affects the electromagnetic fields and the insulating medium make no difference. All the electromagnetic fields amplitude obtained decrease for the shielding layer existing, regardless of any condition, but the extent is different. That is, the effect on the horizontal electric field is most noticeable, the vertical electric field comes second, minimum the azimuthal magnetic field. All the field components are affected by shielding layer height and the distance between shielding layer and lightning channel, but not significantly by the shielding layer grounding depth. The shielding effect is more obvious with lower ground conductivity, but the ground relative permittivity makes no difference.<\/jats:p>","DOI":"10.1515\/freq-2016-0016","type":"journal-article","created":{"date-parts":[[2016,10,21]],"date-time":"2016-10-21T10:00:51Z","timestamp":1477044051000},"page":"279-291","source":"Crossref","is-referenced-by-count":1,"title":["The Effect of Direct Lightning Shielding Rod on Lightning Electromagnetic Fields Aboveground"],"prefix":"10.1515","volume":"71","author":[{"given":"Ya-Peng","family":"Fu","sequence":"first","affiliation":[{"name":"National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering, PLA University of Science & Technology , Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheng","family":"Gao","sequence":"additional","affiliation":[{"name":"National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering, PLA University of Science & Technology , Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Yang","sequence":"additional","affiliation":[{"name":"National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering, PLA University of Science & Technology , Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2016,10,20]]},"reference":[{"key":"2023033116451111581_j_freq-2016-0016_ref_001_w2aab2b8b1b1b7b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"A. Orlandi and F. Schietroma, \u201cAttenuation by a lightning protection system of induced voltage due to direct strikes to a building,\u201d IEEE Trans. Electromagn. Compat., vol.\u200638, no.\u20061, pp. 43\u201350, Feb. 1996.","DOI":"10.1109\/15.485694"},{"key":"2023033116451111581_j_freq-2016-0016_ref_002_w2aab2b8b1b1b7b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"H. Motoyama, W. Janischewskyj, A. M. Hussein, R. Rusan, W. A. Chisholm, and J. S. Chang, \u201cElectromagnetic field radiation model for lightning strokes to tall structures,\u201d IEEE Trans. Power Delivery, vol.\u200611, no.\u20064, pp. 1624\u20131632, July 1996.","DOI":"10.1109\/61.517526"},{"key":"2023033116451111581_j_freq-2016-0016_ref_003_w2aab2b8b1b1b7b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"S. Guerrieri, C. A. Nucci, F. Rachidi, and M. Rubinstein, \u201cOn the influence of elevated strike objects on directly measured and indirectly estimated lightning currents,\u201d IEEE Trans. Power Delivery, vol.\u200613, no.\u20064, pp. 1543\u20131555, Oct. 1998.","DOI":"10.1109\/61.714865"},{"key":"2023033116451111581_j_freq-2016-0016_ref_004_w2aab2b8b1b1b7b1ab2ab4Aa","unstructured":"F. Rachidi, W. Janischewskyj, A. M. Hussein, C. A. Nucci, S. Guerrieri, and J. S. Chang, \u201cElectromagnetic field radiated by lightning return strokes to high towers,\u201d in Proc. 24th Int. Conf. on Lightning Protection, Birmingham, UK, 1998, pp. 23\u201328."},{"key":"2023033116451111581_j_freq-2016-0016_ref_005_w2aab2b8b1b1b7b1ab2ab5Aa","doi-asserted-by":"crossref","unstructured":"V. A. Rakov, \u201cTransient response of a tall object to lightning,\u201d IEEE Trans. Electromagn. Compat., vol.\u200643, no.\u20064, pp. 654\u2013661, Nov. 2001.","DOI":"10.1109\/15.974646"},{"key":"2023033116451111581_j_freq-2016-0016_ref_006_w2aab2b8b1b1b7b1ab2ab6Aa","doi-asserted-by":"crossref","unstructured":"C. A. F. Sartori, J. R. Cardoso, and A. Orlandi, \u201cTransient induced voltage computation in a high building struck by lightning,\u201d IEEE Trans. Magn., vol.\u200634, no.\u20065, pp. 2815\u20132818, Sept. 1998.","DOI":"10.1109\/20.717655"},{"key":"2023033116451111581_j_freq-2016-0016_ref_007_w2aab2b8b1b1b7b1ab2ab7Aa","doi-asserted-by":"crossref","unstructured":"J. L. Bermudez, M. Rubinstein, F. Rachidi, F. Heidler, and M. Paolone, \u201cDetermination of reflection coefficients at the top and bottom of elevated strike objects struck by lightning,\u201d J. Geophys. Res., vol.\u2006108, no. D14, Jul. 2003.","DOI":"10.1029\/2002JD002973"},{"key":"2023033116451111581_j_freq-2016-0016_ref_008_w2aab2b8b1b1b7b1ab2ab8Aa","doi-asserted-by":"crossref","unstructured":"Y. Baba and V. A. Rakov, \u201cOn the interpretation of ground reflections observed in small-scale experiments simulating lightning strikes to towers,\u201d IEEE Trans. Electromagn. Compat., vol.\u200647, no.\u20063, pp. 533\u2013542, Aug. 2005.","DOI":"10.1109\/TEMC.2005.852220"},{"key":"2023033116451111581_j_freq-2016-0016_ref_009_w2aab2b8b1b1b7b1ab2ab9Aa","doi-asserted-by":"crossref","unstructured":"Y. Baba and V. A. Rakov, \u201cVoltages induced on an overhead wire by lightning strikes to a nearby tall grounded object,\u201d IEEE Trans. Electromagn. Compat., vol.\u200648, no.\u20061, pp. 212\u2013224, Feb. 2006.","DOI":"10.1109\/TEMC.2006.870807"},{"key":"2023033116451111581_j_freq-2016-0016_ref_010_w2aab2b8b1b1b7b1ab2ac10Aa","doi-asserted-by":"crossref","unstructured":"S. Miyazaki and M. Ishii, \u201cInfluence of independent towers and transmission lines on lightning return stroke current and associated fields,\u201d IEEE Trans. Electromagn. Compat., vol.\u200650, no.\u20062, pp. 358\u2013368, May 2008.","DOI":"10.1109\/TEMC.2007.915285"},{"key":"2023033116451111581_j_freq-2016-0016_ref_011_w2aab2b8b1b1b7b1ab2ac11Aa","doi-asserted-by":"crossref","unstructured":"A. Mosaddeghi, M. Farhad Rachidi, R.,F. Napolitano, D. Pavanello, V. O. Shostak, W. Janischewskyj, and M. Nyffeler, \u201cRadiated fields from lightning strikes to tall structures: effect of upward-connecting leader and reflections at the return stroke wavefront,\u201d IEEE Trans. Electromagn. Compat., vol.\u200653, no.\u20062, pp. 437\u2013445, May 2011.","DOI":"10.1109\/TEMC.2010.2076815"},{"key":"2023033116451111581_j_freq-2016-0016_ref_012_w2aab2b8b1b1b7b1ab2ac12Aa","doi-asserted-by":"crossref","unstructured":"D. Pavanello, F. Rachidi, W. Janischewskyj, M. Rubinstein, V. O. Shostak, C. A. Nucci, K. L. Cummins, A. M. Hussein, and J. S. Chang, \u201cOn the current peak estimates provided by lightning detection networks for lightning return strokes to tall towers,\u201d IEEE Trans. Electromagn. Compat., vol.\u200651, no.\u20063, pp. 453\u2013458, Aug. 2009.","DOI":"10.1109\/TEMC.2009.2025913"},{"key":"2023033116451111581_j_freq-2016-0016_ref_013_w2aab2b8b1b1b7b1ab2ac13Aa","doi-asserted-by":"crossref","unstructured":"Y. Du and M. L. Chen, \u201cInfluence of building structures on the lightning return stroke current,\u201d IEEE Trans. Power Delivery, vol.\u200625, no.\u20061, pp. 307\u2013315, Jan. 2010.","DOI":"10.1109\/TPWRD.2009.2035420"},{"key":"2023033116451111581_j_freq-2016-0016_ref_014_w2aab2b8b1b1b7b1ab2ac14Aa","unstructured":"M. Milewski and A. M. Hussein, \u201cTall-structure lightning return-stroke modeling,\u201d in Proc. 14th Int. Middle East Power Systems Conf., Cairo University, Egypt, December 19\u201321, 2010, pp. 947\u2013952."},{"key":"2023033116451111581_j_freq-2016-0016_ref_015_w2aab2b8b1b1b7b1ab2ac15Aa","doi-asserted-by":"crossref","unstructured":"A. Shoory, F. Vega, P. Yutthagowith, F. Rachidi, M. Rubinstein, Y. Baba, V. A. Rakov, K. Sheshyekani, and A. Ametani, \u201cOn the mechanism of current pulse propagation along conical structures: application to tall towers struck by lightning,\u201d IEEE Trans. Electromagn. Compat., vol.\u200654, no.\u20062, pp. 332\u2013342, Apr. 2012.","DOI":"10.1109\/TEMC.2011.2160068"},{"key":"2023033116451111581_j_freq-2016-0016_ref_016_w2aab2b8b1b1b7b1ab2ac16Aa","doi-asserted-by":"crossref","unstructured":"Q. Zhang, T. Ji, and W. Hou, \u201cEffect of frequency-dependent soil on the propagation of electromagnetic fields radiated by subsequent lightning strike to tall objects,\u201d IEEE Trans. Electromagn. Compat., vol.\u200657, no.\u20061, pp. 112\u2013120, Apr. 2015.","DOI":"10.1109\/TEMC.2014.2361926"},{"key":"2023033116451111581_j_freq-2016-0016_ref_017_w2aab2b8b1b1b7b1ab2ac17Aa","doi-asserted-by":"crossref","unstructured":"Y. Baba and V. A. Rakov, \u201cOn the use of lumped sources in lightning return stroke models,\u201d J. Geophys. Res., vol.\u2006110, pp. D03101, doi:10.1029\/2004JD005202, Feb. 2005.","DOI":"10.1029\/2004JD005202"},{"key":"2023033116451111581_j_freq-2016-0016_ref_018_w2aab2b8b1b1b7b1ab2ac18Aa","doi-asserted-by":"crossref","unstructured":"R. Araneo, S. Celozzi, A. Tatematsu, and F. Rachidi, \u201cTime-domain analysis of building shielding against lightning electromagnetic fields,\u201d IEEE Trans. Electromagn. Compat, vol.\u200657, no.\u20063, pp. 397\u2013404, Jun. 2015.","DOI":"10.1109\/TEMC.2014.2377776"},{"key":"2023033116451111581_j_freq-2016-0016_ref_019_w2aab2b8b1b1b7b1ab2ac19Aa","doi-asserted-by":"crossref","unstructured":"A. Tatematsu, F. Rachidi, and M. Rubinstein, \u201cAnalysis of electromagnetic fields inside a reinforced concrete building with layered reinforcing bar due to direct and indirect lightning strikes using the FDTD method,\u201d IEEE Trans. Electromagn. Compat., vol.\u200657, no.\u20063, pp. 405\u2013417, Jun. 2015.","DOI":"10.1109\/TEMC.2015.2400132"},{"key":"2023033116451111581_j_freq-2016-0016_ref_020_w2aab2b8b1b1b7b1ab2ac20Aa","unstructured":"S. Mindess, J. F. Young, and D. Darwin, Concrete, 2nd ed. Person Education, Inc., 2003."},{"key":"2023033116451111581_j_freq-2016-0016_ref_021_w2aab2b8b1b1b7b1ab2ac21Aa","unstructured":"Y. Qi, \u201cStudy on the control of the pre-weakening of concrete based on the impulse voltage generator,\u201d A Thesis for the Master Degree of Engineering, Shenyang Ligong University, 2015."},{"key":"2023033116451111581_j_freq-2016-0016_ref_022_w2aab2b8b1b1b7b1ab2ac22Aa","doi-asserted-by":"crossref","unstructured":"B. S. Guru and H. R. Hiziro\u01e7lu, Electromagnetic Field Theory Fundamentals, 2nd ed. Cambridge Univ. Press, 2005.","DOI":"10.1017\/CBO9781139165297"},{"key":"2023033116451111581_j_freq-2016-0016_ref_023_w2aab2b8b1b1b7b1ab2ac23Aa","doi-asserted-by":"crossref","unstructured":"B. Yang, B.-H. Zhou, C. Gao, L.-H. Shi, B. Chen, and H.-L. Chen, \u201cUsing a two-step finite-difference time-domain method to analyze lightning-induced voltages on transmission lines,\u201d IEEE Trans. Electromagn. Compat., vol.\u200653, no.\u20061, pp. 256\u2013260, Feb. 2011.","DOI":"10.1109\/TEMC.2010.2087413"},{"key":"2023033116451111581_j_freq-2016-0016_ref_024_w2aab2b8b1b1b7b1ab2ac24Aa","unstructured":"V. A. Rakov and A. A. Dulzon, \u201cCalculated electromagnetic fields of lightning return stroke,\u201d Tekh. Elektrodianm, vol.\u20061, pp. 87\u201389, 1987."},{"key":"2023033116451111581_j_freq-2016-0016_ref_025_w2aab2b8b1b1b7b1ab2ac25Aa","unstructured":"81\/515\/CD IEC\/TS 62561\u20138 Ed.1: Lightning Protection System Components (LPSC) \u2013 Part 8: Requirements for components for isolated LPS, 2016."}],"container-title":["Frequenz"],"language":"en","link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/freq.2017.71.issue-5-6\/freq-2016-0016\/freq-2016-0016.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/freq-2016-0016\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/freq-2016-0016\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T23:21:23Z","timestamp":1680304883000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/freq-2016-0016\/html"}},"issued":{"date-parts":[[2016,10,20]]},"references-count":25,"journal-issue":{"issue":"5-6","published-online":{"date-parts":[[2017,2,11]]},"published-print":{"date-parts":[[2017,5,24]]}},"alternative-id":["10.1515\/freq-2016-0016"],"URL":"https:\/\/doi.org\/10.1515\/freq-2016-0016","ISSN":["0016-1136","2191-6349"],"issn-type":[{"value":"0016-1136","type":"print"},{"value":"2191-6349","type":"electronic"}],"published":{"date-parts":[[2016,10,20]]}},{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T17:41:29Z","timestamp":1680284489559},"reference-count":33,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-19-13035","DMS-22-08404"],"award-info":[{"award-number":["DMS-19-13035","DMS-22-08404"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2023,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We establish an interior maximum norm error estimate for the symmetric interior penalty method on planar polygonal domains.<\/jats:p>","DOI":"10.1515\/cmam-2022-0127","type":"journal-article","created":{"date-parts":[[2022,10,5]],"date-time":"2022-10-05T12:21:09Z","timestamp":1664972469000},"page":"49-63","source":"Crossref","is-referenced-by-count":1,"title":["An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains"],"prefix":"10.1515","volume":"23","author":[{"given":"Susanne C.","family":"Brenner","sequence":"first","affiliation":[{"name":"Department of Mathematics and Center for Computation and Technology , Louisiana State University , Baton Rouge , LA 70803 , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li-Yeng","family":"Sung","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Center for Computation and Technology , Louisiana State University , Baton Rouge , LA 70803 , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2022,10,6]]},"reference":[{"key":"2023033112515499393_j_cmam-2022-0127_ref_001","unstructured":"R. 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Marini,\nUnified analysis of discontinuous Galerkin methods for elliptic problems,\nSIAM J. Numer. Anal. 39 (2001\/02), no. 5, 1749\u20131779.","DOI":"10.1137\/S0036142901384162"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_005","doi-asserted-by":"crossref","unstructured":"I. Babu\u0161ka,\nFinite element method for domains with corners,\nComputing 6 (1970), 264\u2013273.","DOI":"10.1007\/BF02238811"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_006","doi-asserted-by":"crossref","unstructured":"S. C. Brenner,\nA general superapproximation result,\nComput. Methods Appl. Math. 20 (2020), no. 4, 763\u2013767.","DOI":"10.1515\/cmam-2020-0120"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_007","doi-asserted-by":"crossref","unstructured":"S. C. Brenner, J. Cui and L.-Y. Sung,\nMultigrid methods for the symmetric interior penalty method on graded meshes,\nNumer. Linear Algebra Appl. 16 (2009), no. 6, 481\u2013501.","DOI":"10.1002\/nla.630"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_008","doi-asserted-by":"crossref","unstructured":"S. C. Brenner and L. R. Scott,\nThe Mathematical Theory of Finite Element Methods, 3rd ed.,\nTexts Appl. Math. 15,\nSpringer, New York, 2008.","DOI":"10.1007\/978-0-387-75934-0"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_009","unstructured":"R. Caccioppoli,\nLimitazioni integrali per le soluzioni di un\u2019equazione lineare ellitica a derivate parziali,\nGiorn. Mat. Battaglini (4) 4(80) (1951), 186\u2013212."},{"key":"2023033112515499393_j_cmam-2022-0127_ref_010","doi-asserted-by":"crossref","unstructured":"G. Chen, P. B. Monk and Y. Zhang,\n\n                  \n                     \n                        \n                           L\n                           \u221e\n                        \n                     \n                     \n                     L^{\\infty}\n                  \n                norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem,\nSIAM J. Numer. Anal. 59 (2021), no. 2, 720\u2013745.","DOI":"10.1137\/20M1338551"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_011","doi-asserted-by":"crossref","unstructured":"H. Chen,\nPointwise error estimates of the local discontinuous Galerkin method for a second order elliptic problem,\nMath. Comp. 74 (2005), no. 251, 1097\u20131116.","DOI":"10.1090\/S0025-5718-04-01700-4"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_012","doi-asserted-by":"crossref","unstructured":"Z. Chen and H. Chen,\nPointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems,\nSIAM J. Numer. Anal. 42 (2004), no. 3, 1146\u20131166.","DOI":"10.1137\/S0036142903421527"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_013","doi-asserted-by":"crossref","unstructured":"P. G. Ciarlet,\nThe Finite Element Method for Elliptic Problems,\nNorth-Holland, Amsterdam, 1978.","DOI":"10.1115\/1.3424474"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_014","doi-asserted-by":"crossref","unstructured":"M. Dauge,\nElliptic Boundary Value Problems on Corner Domains,\nLecture Notes in Math. 1341,\nSpringer, Berlin, 1988.","DOI":"10.1007\/BFb0086682"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_015","doi-asserted-by":"crossref","unstructured":"A. Demlow, J. Guzm\u00e1n and A. H. Schatz,\nLocal energy estimates for the finite element method on sharply varying grids,\nMath. Comp. 80 (2011), no. 273, 1\u20139.","DOI":"10.1090\/S0025-5718-2010-02353-1"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_016","unstructured":"L. C. Evans,\nPartial Differential Equations, 2nd ed.,\nGrad. Stud. Math. 19,\nAmerican Mathematical Society, Providence, 2010."},{"key":"2023033112515499393_j_cmam-2022-0127_ref_017","unstructured":"R. Fritzsch and P. Oswald,\nZur optimalen Gitterwahl bei Finite-Elemente-Approximationen,\nWiss. Z. Tech. Univ. Dresden 37 (1988), no. 3, 155\u2013158."},{"key":"2023033112515499393_j_cmam-2022-0127_ref_018","doi-asserted-by":"crossref","unstructured":"D. Gilbarg and N. S. Trudinger,\nElliptic Partial Differential Equations of Second Order,\nClass. Math.,\nSpringer, Berlin, 2001.","DOI":"10.1007\/978-3-642-61798-0"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_019","unstructured":"P. Grisvard,\nElliptic Problems in Nonsmooth Domains,\nMonogr. Stud. Math. 24,\nPitman, Boston, 1985."},{"key":"2023033112515499393_j_cmam-2022-0127_ref_020","doi-asserted-by":"crossref","unstructured":"J. Guzm\u00e1n,\nPointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems,\nMath. Comp. 75 (2006), no. 255, 1067\u20131085.","DOI":"10.1090\/S0025-5718-06-01823-0"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_021","doi-asserted-by":"crossref","unstructured":"R. Haverkamp,\nEine Aussage zur \n                  \n                     \n                        \n                           L\n                           \u221e\n                        \n                     \n                     \n                     L_{\\infty}\n                  \n               -Stabilit\u00e4t und zur genauen Konvergenzordnung der \n                  \n                     \n                        \n                           H\n                           0\n                           1\n                        \n                     \n                     \n                     H^{1}_{0}\n                  \n               -Projektionen,\nNumer. Math. 44 (1984), no. 3, 393\u2013405.","DOI":"10.1007\/BF01405570"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_022","doi-asserted-by":"crossref","unstructured":"G. Kanschat and R. Rannacher,\nLocal error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems,\nJ. Numer. Math. 10 (2002), no. 4, 249\u2013274.","DOI":"10.1515\/JNMA.2002.249"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_023","doi-asserted-by":"crossref","unstructured":"D. Leykekhman,\nPointwise error estimates for \n                  \n                     \n                        \n                           C\n                           0\n                        \n                     \n                     \n                     C^{0}\n                  \n                interior penalty approximation of biharmonic problems,\nMath. Comp. 90 (2021), no. 327, 41\u201363.","DOI":"10.1090\/mcom\/3596"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_024","doi-asserted-by":"crossref","unstructured":"B. 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Schatz and L. B. Wahlbin,\nInterior maximum norm estimates for finite element methods,\nMath. Comp. 31 (1977), no. 138, 414\u2013442.","DOI":"10.1090\/S0025-5718-1977-0431753-X"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_028","doi-asserted-by":"crossref","unstructured":"R. Scott,\nFinite element convergence for singular data,\nNumer. Math. 21 (1973\/74), 317\u2013327.","DOI":"10.1007\/BF01436386"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_029","doi-asserted-by":"crossref","unstructured":"R. Scott,\nOptimal \n                  \n                     \n                        \n                           L\n                           \u221e\n                        \n                     \n                     \n                     L^{\\infty}\n                  \n                estimates for the finite element method on irregular meshes,\nMath. Comp. 30 (1976), no. 136, 681\u2013697.","DOI":"10.1090\/S0025-5718-1976-0436617-2"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_030","doi-asserted-by":"crossref","unstructured":"E. M. Stein,\nHarmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals,\nPrinceton Math. Ser. 43,\nPrinceton University, Princeton, 1993.","DOI":"10.1515\/9781400883929"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_031","unstructured":"M. E. Taylor,\nPseudodifferential Operators,\nPrinceton Math. Ser. 43,\nPrinceton University, Princeton, 1981."},{"key":"2023033112515499393_j_cmam-2022-0127_ref_032","doi-asserted-by":"crossref","unstructured":"L. B. Wahlbin,\nLocal behavior in finite element methods,\nHandbook of Numerical Analysis. Vol. II,\nNorth-Holland, Amsterdam (1991), 353\u2013522.","DOI":"10.1016\/S1570-8659(05)80040-7"},{"key":"2023033112515499393_j_cmam-2022-0127_ref_033","doi-asserted-by":"crossref","unstructured":"M. F. Wheeler,\nAn elliptic collocation-finite element method with interior penalties,\nSIAM J. Numer. 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For colleges of agriculture within land grant universities (LGUs), college leadership and tenured faculty in agricultural science disciplines have historically been disproportionately male, even though women earn nearly an equal number of doctorates. Conscious gender discrimination may account for some of these disparities; however, this is not the only cause of this imbalance. Gendered constructions of the division of labor and allocation of power within organizational cultures are also important to consider when addressing gender inequalities. Using a qualitative feminist methodology, we explored the intersection of identity, social roles, and gendered organizational cultures in colleges of agriculture and life sciences for female faculty. Findings reflect how gender norms have shifted through time as more female faculty join academic units yet, subtle bias and the institutional culture of large LGUs still influence behavioral expectations and perceived gender roles. However, the power of academic leaders to support equality indicates a type of local level influence that can push against the structural constraints of the institution. 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This research objective will be reached in a multidisciplinary way by a combination of high resolution optical flow measurements with the data-driven modeling and data analytics by machine learning.","language":"en"}],"award-amount":{"amount":162806.4,"currency":"EUR"},"award-start":{"date-parts":[[2021,6,1]]},"funding":[{"type":"grant","scheme":"MSCA-IF-2020","award-amount":{"amount":162806.4,"currency":"EUR","percentage":100},"funder":{"id":[{"id":"10.13039\/100010665","id-type":"DOI","asserted-by":"publisher"}],"name":"H2020 Marie Sk?odowska-Curie Actions"}}]}],"deposited":{"date-parts":[[2023,7,24]],"date-time":"2023-07-24T13:52:04Z","timestamp":1690206724000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/cordis.europa.eu\/project\/id\/101024531"}},"issued":{"date-parts":[[2021,6,1]]},"URL":"https:\/\/doi.org\/10.3030\/101024531"},{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T02:27:37Z","timestamp":1680316057340},"reference-count":27,"publisher":"Walter de Gruyter GmbH","issue":"3","license":[{"start":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T00:00:00Z","timestamp":1584576000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771124"],"award-info":[{"award-number":["11771124"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2020,8,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we study properties of the lambda constants and the existence of ground states of Perelman\u2019s famous <jats:italic>W<\/jats:italic>-functional from a variational formulation. We have two kinds of results. One is about the estimation of the lambda constant of G. Perelman, and the other is about the existence of ground states of his <jats:italic>W<\/jats:italic>-functional, both on a complete non-compact Riemannian manifold <jats:inline-formula id=\"j_ans-2020-2077_ineq_9999\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mo stretchy=\"false\">(<\/m:mo>\n                              <m:mi>M<\/m:mi>\n                              <m:mo>,<\/m:mo>\n                              <m:mi>g<\/m:mi>\n                              <m:mo stretchy=\"false\">)<\/m:mo>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_ans-2020-2077_inl_001.png\" \/>\n                        <jats:tex-math>{(M,g)}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>. One consequence of our estimation is that, on an ALE (or asymptotic flat) manifold <jats:inline-formula id=\"j_ans-2020-2077_ineq_9998\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mo stretchy=\"false\">(<\/m:mo>\n                              <m:mi>M<\/m:mi>\n                              <m:mo>,<\/m:mo>\n                              <m:mi>g<\/m:mi>\n                              <m:mo stretchy=\"false\">)<\/m:mo>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_ans-2020-2077_inl_002.png\" \/>\n                        <jats:tex-math>{(M,g)}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, if the scalar curvature <jats:italic>s<\/jats:italic> of <jats:inline-formula id=\"j_ans-2020-2077_ineq_9997\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mo stretchy=\"false\">(<\/m:mo>\n                              <m:mi>M<\/m:mi>\n                              <m:mo>,<\/m:mo>\n                              <m:mi>g<\/m:mi>\n                              <m:mo stretchy=\"false\">)<\/m:mo>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_ans-2020-2077_inl_003.png\" \/>\n                        <jats:tex-math>{(M,g)}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> is non-negative and has quadratical decay at infinity, then <jats:italic>M<\/jats:italic> is scalar flat, i.e., <jats:inline-formula id=\"j_ans-2020-2077_ineq_9996\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>s<\/m:mi>\n                              <m:mo>=<\/m:mo>\n                              <m:mn>0<\/m:mn>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_ans-2020-2077_inl_004.png\" \/>\n                        <jats:tex-math>{s=0}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> in <jats:italic>M<\/jats:italic>. We also introduce a new constant <jats:inline-formula id=\"j_ans-2020-2077_ineq_9995\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>d<\/m:mi>\n                              <m:mo>\u2062<\/m:mo>\n                              <m:mrow>\n                                 <m:mo stretchy=\"false\">(<\/m:mo>\n                                 <m:mi>M<\/m:mi>\n                                 <m:mo>,<\/m:mo>\n                                 <m:mi>g<\/m:mi>\n                                 <m:mo stretchy=\"false\">)<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_ans-2020-2077_inl_005.png\" \/>\n                        <jats:tex-math>{d(M,g)}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>. For the existence of the ground states, we use Lions\u2019 concentration-compactness method.<\/jats:p>","DOI":"10.1515\/ans-2020-2077","type":"journal-article","created":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T09:03:10Z","timestamp":1584608590000},"page":"651-661","source":"Crossref","is-referenced-by-count":2,"title":["New Results About the Lambda Constant and Ground States of the \ud835\udc4a-Functional"],"prefix":"10.1515","volume":"20","author":[{"given":"Li","family":"Ma","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics , University of Science and Technology Beijing , 30 Xueyuan Road, Haidian District Beijing , 100083; and Department of Mathematics, Henan Normal University, Xinxiang, 453007 P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2020,3,19]]},"reference":[{"key":"2023033117073468884_j_ans-2020-2077_ref_001","doi-asserted-by":"crossref","unstructured":"A. S. Y. Chang, The Moser\u2013Onofri inequality and applications to some problems in conformal geometry, Nonlinear Partial Differential Equations in Differential Geometry, IAS\/Park city Math. Ser. 2, American Mathematical Society, Providence (1996), 65\u2013125.","DOI":"10.1090\/pcms\/002\/03"},{"key":"2023033117073468884_j_ans-2020-2077_ref_002","unstructured":"B. Chow, P. Lu and L. Ni, Hamilton\u2019s Ricci flow, Grad. Stud. in Math. 77, American Mathematical Society, Providence, 2006."},{"key":"2023033117073468884_j_ans-2020-2077_ref_003","doi-asserted-by":"crossref","unstructured":"B. Chow, S.-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, F. Luo and L. Ni, The Ricci flow: Techniques and Applications. Part I: Geometric Aspects, Math. Surveys Monogr. 135, American Mathematical Society, Providence, 2007.","DOI":"10.1090\/surv\/135"},{"key":"2023033117073468884_j_ans-2020-2077_ref_004","doi-asserted-by":"crossref","unstructured":"B. Chow, S.-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, F. Luo and L. Ni, The Ricci flow: Techniques and Applications. Part III: Geometric-analytica Aspects, Math. Surveys Monogr. 163, American Mathematical Society, Providence, 2010.","DOI":"10.1090\/surv\/163"},{"key":"2023033117073468884_j_ans-2020-2077_ref_005","doi-asserted-by":"crossref","unstructured":"S. Cheng and S. T. Yau, Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math. 28 (1975), no. 3, 333\u2013354.","DOI":"10.1002\/cpa.3160280303"},{"key":"2023033117073468884_j_ans-2020-2077_ref_006","doi-asserted-by":"crossref","unstructured":"T. H. Colding, W. P. Minicozzi and II, Minimal Surfaces, Courant Lect. Notes Math. 4, New York University, New York, 1999.","DOI":"10.1155\/S1073792899000604"},{"key":"2023033117073468884_j_ans-2020-2077_ref_007","doi-asserted-by":"crossref","unstructured":"L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1975), 1061\u20131083.","DOI":"10.2307\/2373688"},{"key":"2023033117073468884_j_ans-2020-2077_ref_008","doi-asserted-by":"crossref","unstructured":"R. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 2 (1982), 255\u2013306.","DOI":"10.4310\/jdg\/1214436922"},{"key":"2023033117073468884_j_ans-2020-2077_ref_009","doi-asserted-by":"crossref","unstructured":"B. Kleiner and J. Lott, Notes on Perelman\u2019s papers, Geom. Topol. 12 (2008), no. 5, 2587\u20132855.","DOI":"10.2140\/gt.2008.12.2587"},{"key":"2023033117073468884_j_ans-2020-2077_ref_010","doi-asserted-by":"crossref","unstructured":"P. Li and R. Schoen, Lp and mean value properties of subharmonic functions on Riemannian manifolds, Acta Math. 153 (1984), no. 3\u20134, 279\u2013301.","DOI":"10.1007\/BF02392380"},{"key":"2023033117073468884_j_ans-2020-2077_ref_011","doi-asserted-by":"crossref","unstructured":"P. L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. I, Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire 1 (1984), no. 2, 109\u2013145.","DOI":"10.1016\/s0294-1449(16)30428-0"},{"key":"2023033117073468884_j_ans-2020-2077_ref_012","doi-asserted-by":"crossref","unstructured":"P. L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. II, Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire 1 (1984), no. 4, 223\u2013283.","DOI":"10.1016\/s0294-1449(16)30422-x"},{"key":"2023033117073468884_j_ans-2020-2077_ref_013","doi-asserted-by":"crossref","unstructured":"L. Ma, Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds, J. Funct. Anal. 241 (2006), no. 1, 374\u2013382.","DOI":"10.1016\/j.jfa.2006.06.006"},{"key":"2023033117073468884_j_ans-2020-2077_ref_014","unstructured":"L. Ma, Lambda constant and ground states of Perelman\u2019s W-functionals, preprint (2015), https:\/\/arxiv.org\/abs\/1512.08405."},{"key":"2023033117073468884_j_ans-2020-2077_ref_015","doi-asserted-by":"crossref","unstructured":"L. Ma, Gradient estimates for a simple nonlinear heat equation on manifolds, Appl. Anal 96 (2017), no. 2, 225\u2013230.","DOI":"10.1080\/00036811.2015.1120290"},{"key":"2023033117073468884_j_ans-2020-2077_ref_016","doi-asserted-by":"crossref","unstructured":"L. Ma and Y. Liu, Harnack inequalities for simple heat equations on Riemannian manifolds, Math. Phys. Anal. Geom. 22 (2019), 10.1007\/s11040-019-9305-9.","DOI":"10.1007\/s11040-019-9305-9"},{"key":"2023033117073468884_j_ans-2020-2077_ref_017","doi-asserted-by":"crossref","unstructured":"L. Ma, L. Zhao and X. Song, Gradient estimate for the degenerate parabolic equation ut=\u0394\u2062F\u2062(u)+H\u2062(u){u_{t}=\\Delta F(u)+H(u)} on manifolds, J. Differential Equations 244 (2008), no. 5, 1157\u20131177.","DOI":"10.1016\/j.jde.2007.08.014"},{"key":"2023033117073468884_j_ans-2020-2077_ref_018","doi-asserted-by":"crossref","unstructured":"L. Ma and A. Zhu, Eigenvalues and lambda constants on Riemannian submersions, Geom. Dedicata 129 (2007), 73\u201382.","DOI":"10.1007\/s10711-007-9194-0"},{"key":"2023033117073468884_j_ans-2020-2077_ref_019","doi-asserted-by":"crossref","unstructured":"E. Hebey, Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius, Amer. J. Math. 118 (1996), no. 2, 291\u2013300.","DOI":"10.1353\/ajm.1996.0014"},{"key":"2023033117073468884_j_ans-2020-2077_ref_020","doi-asserted-by":"crossref","unstructured":"N. Hirano, Existence of solutions for a nonlinear elliptic problem on a Riemannian manifold, J. Math. Anal. Appl. 368 (2010), 400\u2013412.","DOI":"10.1016\/j.jmaa.2010.03.067"},{"key":"2023033117073468884_j_ans-2020-2077_ref_021","unstructured":"G. Perelman, The entropy formula for the Ricci flow and its geometric applications, preprint (2002), https:\/\/arxiv.org\/abs\/math\/0211159."},{"key":"2023033117073468884_j_ans-2020-2077_ref_022","unstructured":"G. Perelman, Ricci flow with surgery on three-manifolds, preprint (2003), https:\/\/arxiv.org\/abs\/math\/0303109."},{"key":"2023033117073468884_j_ans-2020-2077_ref_023","doi-asserted-by":"crossref","unstructured":"O. S. Rothaus, Logarithmic Sobolev inequalities and the spectrum of Schrodinger operators, J.Funct. Anal. 42 (1981), 110\u2013120.","DOI":"10.1016\/0022-1236(81)90050-1"},{"key":"2023033117073468884_j_ans-2020-2077_ref_024","doi-asserted-by":"crossref","unstructured":"M. Struwe, Variational Methods, 2nd ed., Springer, Berlin, 1996.","DOI":"10.1007\/978-3-662-03212-1"},{"key":"2023033117073468884_j_ans-2020-2077_ref_025","unstructured":"T. Tao, Poincare\u2019s Legacies, Part 2: Pages from Year Two of a Mathematical Blog, American Mathematical Society, Providence, 2009."},{"key":"2023033117073468884_j_ans-2020-2077_ref_026","doi-asserted-by":"crossref","unstructured":"Q. S. Zhang, Extremal of log Sobolev inequality and W entropy on noncompact manifolds, J. Funct. Anal. 263 (2012), no. 7, 2051\u20132101.","DOI":"10.1016\/j.jfa.2012.07.005"},{"key":"2023033117073468884_j_ans-2020-2077_ref_027","doi-asserted-by":"crossref","unstructured":"Q. S. Zhang, A no breathers theorem for some noncompact Ricci flows, Asian J. Math. 18 (2014), no. 4, 727\u2013755.","DOI":"10.4310\/AJM.2014.v18.n4.a8"}],"container-title":["Advanced Nonlinear Studies"],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/ans\/20\/3\/article-p651.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/ans-2020-2077\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/ans-2020-2077\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T23:54:08Z","timestamp":1680306848000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/ans-2020-2077\/html"}},"issued":{"date-parts":[[2020,3,19]]},"references-count":27,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2020,4,15]]},"published-print":{"date-parts":[[2020,8,1]]}},"alternative-id":["10.1515\/ans-2020-2077"],"URL":"https:\/\/doi.org\/10.1515\/ans-2020-2077","ISSN":["1536-1365","2169-0375"],"issn-type":[{"value":"1536-1365","type":"print"},{"value":"2169-0375","type":"electronic"}],"published":{"date-parts":[[2020,3,19]]}},{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T12:54:36Z","timestamp":1680353676973},"reference-count":4,"publisher":"Walter de Gruyter GmbH","issue":"5","funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["MTM2014-54707-C3-1-P"],"award-info":[{"award-number":["MTM2014-54707-C3-1-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271085"],"award-info":[{"award-number":["11271085"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003453","name":"Natural Science Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2015A030313791"],"award-info":[{"award-number":["2015A030313791"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2018,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The aim of this paper is to study the class of finite groups in which every subgroup is self-normalising in its subnormal closure. It is proved that this class is a subgroup-closed formation of finite soluble groups which is not closed under taking Frattini extensions and whose members can be characterised by means of their Carter subgroups. This leads to new characterisations of finite soluble T-, PT- and PST-groups. Finite groups whose <jats:italic>p<\/jats:italic>-subgroups, <jats:italic>p<\/jats:italic> a prime, are self-normalising in their subnormal closure are also characterised.<\/jats:p>","DOI":"10.1515\/jgth-2018-0015","type":"journal-article","created":{"date-parts":[[2018,5,16]],"date-time":"2018-05-16T22:29:32Z","timestamp":1526509772000},"page":"839-846","source":"Crossref","is-referenced-by-count":1,"title":["On a class of finite soluble groups"],"prefix":"10.1515","volume":"21","author":[{"given":"Adolfo","family":"Ballester-Bolinches","sequence":"first","affiliation":[{"name":"Department of Mathematics , Guangdong University of Education , 510310 , Guangzhou , P. R. China ; and Departament de Matem\u00e0tiques, Universitat de Val\u00e8ncia, 46100 Burjassot, Val\u00e8ncia , Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John","family":"Cossey","sequence":"additional","affiliation":[{"name":"Australian National University , Canberra , ACT 2601 , Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yangming","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Guangdong University of Education , 510310 , Guangzhou , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2018,5,16]]},"reference":[{"key":"2023033122400910332_j_jgth-2018-0015_ref_001_w2aab3b7e2171b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"A.  Ballester-Bolinches, R.  Esteban-Romero and M.  Asaad,\nProducts of Finite Groups,\nDe Gruyter Exp. Math. 53,\nWalter de Gruyter, Berlin, 2010.","DOI":"10.1515\/9783110220612"},{"key":"2023033122400910332_j_jgth-2018-0015_ref_002_w2aab3b7e2171b1b6b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"A.  Ballester-Bolinches, R.  Esteban-Romero and Y.  Li,\nOn self-normalizing subgroups of finite groups,\nJ. Group Theory 13 (2010), 143\u2013149.","DOI":"10.1515\/jgt.2009.038"},{"key":"2023033122400910332_j_jgth-2018-0015_ref_003_w2aab3b7e2171b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"K.  Doerk and T.  Hawkes,\nFinite Soluble Groups,\nDe Gruyter Exp. Math. 4,\nWalter de Gruyter, Berlin, 1992.","DOI":"10.1515\/9783110870138"},{"key":"2023033122400910332_j_jgth-2018-0015_ref_004_w2aab3b7e2171b1b6b1ab2ab4Aa","doi-asserted-by":"crossref","unstructured":"Y.  Li,\nFinite groups with NE-subgroups,\nJ. Group Theory 9 (2006), 49\u201358.","DOI":"10.1515\/JGT.2006.003"}],"container-title":["Journal of Group Theory"],"language":"en","link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/jgth.2018.21.issue-5\/jgth-2018-0015\/jgth-2018-0015.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jgth-2018-0015\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jgth-2018-0015\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T12:04:00Z","timestamp":1680350640000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jgth-2018-0015\/html"}},"issued":{"date-parts":[[2018,5,16]]},"references-count":4,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2018,6,13]]},"published-print":{"date-parts":[[2018,9,1]]}},"alternative-id":["10.1515\/jgth-2018-0015"],"URL":"https:\/\/doi.org\/10.1515\/jgth-2018-0015","ISSN":["1435-4446","1433-5883"],"issn-type":[{"value":"1435-4446","type":"electronic"},{"value":"1433-5883","type":"print"}],"published":{"date-parts":[[2018,5,16]]}}],"items-per-page":20,"query":{"start-index":0,"search-terms":null}}}