{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T10:49:09Z","timestamp":1758278949824,"version":"3.37.3"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T00:00:00Z","timestamp":1495065600000},"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":["Integr. Equ. Oper. Theory"],"published-print":{"date-parts":[[2017,7]]},"DOI":"10.1007\/s00020-017-2377-7","type":"journal-article","created":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T10:20:52Z","timestamp":1495102852000},"page":"401-449","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Converging Expansions for Lipschitz Self-Similar Perforations of a Plane Sector"],"prefix":"10.1007","volume":"88","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4404-9474","authenticated-orcid":false,"given":"Martin","family":"Costabel","sequence":"first","affiliation":[]},{"given":"Matteo","family":"Dalla Riva","sequence":"additional","affiliation":[]},{"given":"Monique","family":"Dauge","sequence":"additional","affiliation":[]},{"given":"Paolo","family":"Musolino","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,5,18]]},"reference":[{"key":"2377_CR1","volume-title":"Polarization and Moment Tensors, Vol. 162 of Applied Mathematical Sciences","author":"H Ammari","year":"2007","unstructured":"Ammari, H., Kang, H.: Polarization and Moment Tensors, Vol. 162 of Applied Mathematical Sciences. Springer, New York (2007). (With applications to inverse problems and effective medium theory)"},{"key":"2377_CR2","doi-asserted-by":"crossref","first-page":"4113","DOI":"10.1090\/S0002-9947-99-02299-0","volume":"351","author":"AP Bergamasco","year":"1999","unstructured":"Bergamasco, A.P.: Remarks about global analytic hypoellipticity. Trans. Am. Math. Soc. 351, 4113\u20134126 (1999)","journal-title":"Trans. Am. Math. Soc."},{"key":"2377_CR3","unstructured":"Bonnaillie-No\u00ebl, V., Dalla\u00a0Riva, M., Dambrine, M., Musolino, P.: A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary. Preprint. arXiv:1612.04637 (2016)"},{"key":"2377_CR4","first-page":"9","volume":"294","author":"M Brahimi","year":"1982","unstructured":"Brahimi, M., Dauge, M.: Analyticit\u00e9 et probl\u00e8mes aux limites dans un polygone. C. R. Acad. Sci. Paris S\u00e9r. I Math. 294, 9\u201312 (1982)","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"2377_CR5","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1137\/0519043","volume":"19","author":"M Costabel","year":"1988","unstructured":"Costabel, M.: Boundary integral operators on Lipschitz domains: elementary results. SIAM J. Math. Anal. 19, 613\u2013626 (1988)","journal-title":"SIAM J. Math. Anal."},{"key":"2377_CR6","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1002\/mana.19931620117","volume":"162","author":"M Costabel","year":"1993","unstructured":"Costabel, M., Dauge, M.: Construction of corner singularities for Agmon\u2013Douglis\u2013Nirenberg elliptic systems. Math. Nachr. 162, 209\u2013237 (1993)","journal-title":"Math. Nachr."},{"key":"2377_CR7","doi-asserted-by":"crossref","first-page":"1677","DOI":"10.1080\/03605309408821068","volume":"9\u201310","author":"M Costabel","year":"1994","unstructured":"Costabel, M., Dauge, M.: Stable asymptotics for elliptic systems on plane domains with corners. Commun. Partial Differ. Equ. 9\u201310, 1677\u20131726 (1994)","journal-title":"Commun. Partial Differ. Equ."},{"key":"2377_CR8","first-page":"34","volume":"372","author":"M Costabel","year":"1986","unstructured":"Costabel, M., Wendland, W.L.: Strong ellipticity of boundary integral operators. J. Reine Angew. Math. 372, 34\u201363 (1986)","journal-title":"J. Reine Angew. Math."},{"key":"2377_CR9","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/j.jmaa.2014.08.037","volume":"422","author":"M Dalla Riva","year":"2015","unstructured":"Dalla Riva, M., Musolino, P.: Real analytic families of harmonic functions in a planar domain with a small hole. J. Math. Anal. Appl. 422, 37\u201355 (2015)","journal-title":"J. Math. Anal. Appl."},{"key":"2377_CR10","doi-asserted-by":"crossref","first-page":"812","DOI":"10.1080\/03605302.2015.1135166","volume":"41","author":"M Dalla Riva","year":"2016","unstructured":"Dalla Riva, M., Musolino, P.: A mixed problem for the Laplace operator in a domain with moderately close holes. Commun. Partial Differ. Equ. 41, 812\u2013837 (2016)","journal-title":"Commun. Partial Differ. Equ."},{"key":"2377_CR11","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1080\/03605308408820329","volume":"9","author":"M Dauge","year":"1984","unstructured":"Dauge, M.: Second membre analytique pour un probl\u00e8me aux limites elliptique d\u2019ordre $$2m$$ 2 m sur un polygone. Commun. Partial Differ. Equ. 9, 169\u2013195 (1984)","journal-title":"Commun. Partial Differ. Equ."},{"key":"2377_CR12","volume-title":"Elliptic Boundary Value Problems on Corner Domains\u2014Smoothness and Asymptotics of Solutions, Vol. 1341 of Lecture Notes in Mathematics","author":"M Dauge","year":"1988","unstructured":"Dauge, M.: Elliptic Boundary Value Problems on Corner Domains\u2014Smoothness and Asymptotics of Solutions, Vol. 1341 of Lecture Notes in Mathematics. Springer, Berlin (1988)"},{"key":"2377_CR13","doi-asserted-by":"crossref","unstructured":"Dauge, M., Tordeux, S., Vial, G.: Selfsimilar perturbation near a corner: matching versus multiscale expansions for a model problem. Around the Research of Vladimir Maz\u2019ya. II, Vol. 12 of Int. Math. Ser. (N. Y.), pp. 95\u2013134. Springer, New York (2010)","DOI":"10.1007\/978-1-4419-1343-2_4"},{"key":"2377_CR14","volume-title":"Introduction to Partial Differential Equations","author":"GB Folland","year":"1995","unstructured":"Folland, G.B.: Introduction to Partial Differential Equations, 2nd edn. Princeton University Press, Princeton (1995)","edition":"2"},{"key":"2377_CR15","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1090\/S0002-9939-1972-0296508-5","volume":"31","author":"SJ Greenfield","year":"1972","unstructured":"Greenfield, S.J., Wallach, N.R.: Global hypoellipticity and Liouville numbers. Proc. Am. Math. Soc. 31, 112\u2013114 (1972)","journal-title":"Proc. Am. Math. Soc."},{"key":"2377_CR16","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199219858.001.0001","volume-title":"An Introduction to the Theory of Numbers","author":"GH Hardy","year":"2008","unstructured":"Hardy, G.H., Wright, E.M.: An Introduction to the Theory of Numbers, 6th edn. Oxford University Press, Oxford (2008). (Revised by D. R. Heath-Brown and J. H. Silverman, With a foreword by Andrew Wiles)","edition":"6"},{"key":"2377_CR17","doi-asserted-by":"crossref","first-page":"2061","DOI":"10.1090\/S0002-9939-00-05996-7","volume":"129","author":"AA Himonas","year":"2001","unstructured":"Himonas, A.A.: Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions. Proc. Am. Math. Soc. 129, 2061\u20132067 (2001)","journal-title":"Proc. Am. Math. Soc."},{"key":"2377_CR18","doi-asserted-by":"crossref","unstructured":"Il\u2019in, A.M.: Matching of asymptotic expansions of solutions of boundary value problems, vol.\u00a0102 of Translations of Mathematical Monographs, American Mathematical Society, Providence 1992. Translated from the Russian by V. Minachin [V. V. Minakhin]","DOI":"10.1090\/mmono\/102"},{"key":"2377_CR19","first-page":"227","volume":"16","author":"VA Kondrat\u2019ev","year":"1967","unstructured":"Kondrat\u2019ev, V.A.: Boundary-value problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. 16, 227\u2013313 (1967)","journal-title":"Trans. Moscow Math. Soc."},{"key":"2377_CR20","unstructured":"Kozlov, V., Maz\u2019ya, V., Movchan, A.: Asymptotic Analysis of Fields in Multi-structures, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, Oxford Science Publications (1999)"},{"key":"2377_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF03321008","volume":"2","author":"M Lanza de Cristoforis","year":"2002","unstructured":"Lanza de Cristoforis, M.: Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces. Comput. Methods Funct. Theory 2, 1\u201327 (2002)","journal-title":"Comput. Methods Funct. Theory"},{"key":"2377_CR22","first-page":"63","volume":"28","author":"M Lanza de Cristoforis","year":"2008","unstructured":"Lanza de Cristoforis, M.: Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach. Analysis (Munich) 28, 63\u201393 (2008)","journal-title":"Analysis (Munich)"},{"key":"2377_CR23","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1216\/JIE-2013-25-1-21","volume":"25","author":"M Lanza de Cristoforis","year":"2013","unstructured":"Lanza de Cristoforis, M., Musolino, P.: A real analyticity result for a nonlinear integral operator. J. Integral Equ. Appl. 25, 21\u201346 (2013)","journal-title":"J. Integral Equ. Appl."},{"key":"2377_CR24","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s10231-004-0125-5","volume":"185","author":"S Mayboroda","year":"2006","unstructured":"Mayboroda, S., Mitrea, M.: Layer potentials and boundary value problems for Laplacian in Lipschitz domains with data in quasi-Banach Besov spaces. Ann. Mat. Pura Appl. (4) 185, 155\u2013187 (2006)","journal-title":"Ann. Mat. Pura Appl. (4)"},{"key":"2377_CR25","doi-asserted-by":"crossref","unstructured":"Maz\u2019ya, V., Nazarov, S., Plamenevskij, B.: Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vols. I, II, vol.\u00a0111, 112 of Operator Theory: Advances and Applications. Birkh\u00e4user, Basel (2000)","DOI":"10.1007\/978-3-0348-8432-7"},{"key":"2377_CR26","volume-title":"Strongly Elliptic Systems and Boundary Integral Equations","author":"W McLean","year":"2000","unstructured":"McLean, W.: Strongly Elliptic Systems and Boundary Integral Equations. Cambridge University Press, Cambridge (2000)"},{"key":"2377_CR27","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1002\/cpa.3160100204","volume":"10","author":"CB Morrey Jr","year":"1957","unstructured":"Morrey Jr., C.B., Nirenberg, L.: On the analyticity of the solutions of linear elliptic systems of partial differential equations. Commun. Pure Appl. Math. 10, 271\u2013290 (1957)","journal-title":"Commun. Pure Appl. Math."},{"key":"2377_CR28","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1006\/jmaa.2001.7615","volume":"262","author":"O Steinbach","year":"2001","unstructured":"Steinbach, O., Wendland, W.L.: On C. Neumann\u2019s method for second-order elliptic systems in domains with non-smooth boundaries. J. Math. Anal. Appl. 262, 733\u2013748 (2001)","journal-title":"J. Math. Anal. Appl."}],"container-title":["Integral Equations and Operator Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00020-017-2377-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00020-017-2377-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00020-017-2377-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,24]],"date-time":"2024-06-24T05:59:04Z","timestamp":1719208744000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00020-017-2377-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,18]]},"references-count":28,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,7]]}},"alternative-id":["2377"],"URL":"https:\/\/doi.org\/10.1007\/s00020-017-2377-7","relation":{},"ISSN":["0378-620X","1420-8989"],"issn-type":[{"type":"print","value":"0378-620X"},{"type":"electronic","value":"1420-8989"}],"subject":[],"published":{"date-parts":[[2017,5,18]]}}}