{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T08:27:53Z","timestamp":1775464073715,"version":"3.50.1"},"publisher-location":"Singapore","reference-count":17,"publisher":"Springer Singapore","isbn-type":[{"value":"9789811046414","type":"print"},{"value":"9789811046421","type":"electronic"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-981-10-4642-1_29","type":"book-chapter","created":{"date-parts":[[2017,4,15]],"date-time":"2017-04-15T05:18:49Z","timestamp":1492233529000},"page":"339-348","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Mapping Properties of One Class of Quasielliptic Operators"],"prefix":"10.1007","author":[{"given":"Gennadii","family":"Demidenko","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,4,16]]},"reference":[{"key":"29_CR1","first-page":"1388","volume":"3","author":"SM Nikol\u2019skii","year":"1962","unstructured":"Nikol\u2019skii, S.M.: The first boundary problem for a general linear equation. Sov. Math. Dokl. 3, 1388\u20131390 (1962)","journal-title":"Sov. Math. Dokl."},{"key":"29_CR2","first-page":"3","volume":"59","author":"LR Volevich","year":"1962","unstructured":"Volevich, L.R.: Local properties of solutions to quasielliptic systems. Mat. Sb. 59, 3\u201352 (1962). (in Russian)","journal-title":"Mat. Sb."},{"key":"29_CR3","first-page":"498","volume":"11","author":"LA Bagirov","year":"1975","unstructured":"Bagirov, L.A., Kondratyev, V.A.: On elliptic equations in \n                    \n                      \n                    \n                    $${\\mathbb{R}}^n$$\n                  . Differ. Uravn. 11, 498\u2013504 (1975). (in Russian)","journal-title":"Differ. Uravn."},{"key":"29_CR4","doi-asserted-by":"publisher","first-page":"897","DOI":"10.1512\/iumj.1975.24.24072","volume":"24","author":"M Cantor","year":"1975","unstructured":"Cantor, M.: Spaces of functions with asymptotic conditions on \n                    \n                      \n                    \n                    $${\\mathbb{R}}^n$$\n                  . Indiana Univ. Math. J. 24, 897\u2013902 (1975)","journal-title":"Indiana Univ. Math. J."},{"key":"29_CR5","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1090\/S0273-0979-1981-14934-X","volume":"5","author":"M Cantor","year":"1981","unstructured":"Cantor, M.: Elliptic operators and decomposition of tensor fields. Bull. AMS 5, 235\u2013262 (1981)","journal-title":"Bull. AMS"},{"key":"29_CR6","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1002\/cpa.3160320604","volume":"32","author":"RC McOwen","year":"1979","unstructured":"McOwen, R.C.: The behavior of the laplacian on weighted sobolev spaces. Comm. Pure Appl. Math. 32, 783\u2013795 (1979)","journal-title":"Comm. Pure Appl. Math."},{"key":"29_CR7","doi-asserted-by":"publisher","first-page":"913","DOI":"10.1080\/03605308008820158","volume":"5","author":"RC McOwen","year":"1980","unstructured":"McOwen, R.C.: On elliptic operators in \n                    \n                      \n                    \n                    $${\\mathbb{R}}^n$$\n                  . Comm. Partial Diff. Eqn. 5, 913\u2013933 (1980)","journal-title":"Comm. Partial Diff. Eqn."},{"key":"29_CR8","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/BF02392460","volume":"146","author":"Y Choquet-Bruhat","year":"1981","unstructured":"Choquet-Bruhat, Y., Christodoulou, D.: Elliptic systems in \n                    \n                      \n                    \n                    $$H_{s,\\sigma }$$\n                   spaces on manifolds which are euclidean at infinity. Acta Math. 146, 129\u2013150 (1981)","journal-title":"Acta Math."},{"key":"29_CR9","first-page":"409","volume":"12","author":"RB Lockhart","year":"1985","unstructured":"Lockhart, R.B., McOwen, R.C.: Elliptic differential operators on noncompact manifolds. Ann. Scuola Norm. Sup. Pisa. Cl. Sci. 12, 409\u2013447 (1985)","journal-title":"Ann. Scuola Norm. Sup. Pisa. Cl. Sci."},{"key":"29_CR10","first-page":"1","volume":"55","author":"LD Kudryavtsev","year":"1959","unstructured":"Kudryavtsev, L.D.: Direct and reverse embedding theorems. Applications to solution of elliptic equations by the variational method. Trudy Mat. Inst. Steklov. Akad Nauk SSSR 55, 1\u2013182 (1959). (in Russian)","journal-title":"Trudy Mat. Inst. Steklov. Akad Nauk SSSR"},{"key":"29_CR11","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/0022-247X(73)90138-8","volume":"42","author":"L Nirenberg","year":"1973","unstructured":"Nirenberg, L., Walker, H.F.: The null spaces of elliptic partial differential operators in \n                    \n                      \n                    \n                    $${\\mathbb{R}}^n$$\n                  . J. Math. Anal. Appl. 42, 271\u2013301 (1973)","journal-title":"J. Math. Anal. Appl."},{"key":"29_CR12","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1023\/B:SIMJ.0000013014.89566.3c","volume":"45","author":"GV Demidenko","year":"2004","unstructured":"Demidenko, G.V.: On one class of matrix differential operators. Sib. Math. J. 45, 86\u201399 (2004)","journal-title":"Sib. Math. J."},{"key":"29_CR13","doi-asserted-by":"publisher","first-page":"884","DOI":"10.1007\/BF02672910","volume":"39","author":"GV Demidenko","year":"1998","unstructured":"Demidenko, G.V.: On quasielliptic operators in \n                    \n                      \n                    \n                    $${\\mathbb{R}}^n$$\n                  . Sib. Math. J. 39, 884\u2013893 (1998)","journal-title":"Sib. Math. J."},{"key":"29_CR14","first-page":"102","volume":"59","author":"GV Demidenko","year":"1999","unstructured":"Demidenko, G.V.: Isomorphic properties of quasi-elliptic operators. Russ. Acad. Sci. Dokl. Math. 59, 102\u2013106 (1999)","journal-title":"Russ. Acad. Sci. Dokl. Math."},{"key":"29_CR15","doi-asserted-by":"publisher","first-page":"1538","DOI":"10.1002\/mana.200410436","volume":"279","author":"GN Hile","year":"2006","unstructured":"Hile, G.N.: Fundamental solutions and mapping properties of semielliptic operators. Math. Nachr. 279, 1538\u20131572 (2006)","journal-title":"Math. Nachr."},{"key":"29_CR16","first-page":"113","volume":"49","author":"GV Demidenko","year":"1994","unstructured":"Demidenko, G.V.: On weighted sobolev spaces and integral operators determined by quasi-elliptic operators. Russ. Acad. Sci. Dokl. Math. 49, 113\u2013118 (1994)","journal-title":"Russ. Acad. Sci. Dokl. Math."},{"key":"29_CR17","first-page":"343","volume":"117","author":"SV Uspenskii","year":"1972","unstructured":"Uspenskii, S.V.: On the representation of functions defined by a class of hypoelliptic operators. Proc. Steklov Inst. Math. 117, 343\u2013352 (1972)","journal-title":"Proc. Steklov Inst. Math."}],"container-title":["Communications in Computer and Information Science","Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-10-4642-1_29","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T23:26:04Z","timestamp":1558394764000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-981-10-4642-1_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9789811046414","9789811046421"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-981-10-4642-1_29","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"value":"1865-0929","type":"print"},{"value":"1865-0937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"16 April 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICMC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Mathematics and Computing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Haldia","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"India","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 January 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 January 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icmc2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/hithaldia.co.in\/icmc2017\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}