A DECAY ESTIMATE FOR THE EIGENVALUES OF THE NEUMANN-POINCARE OPERATOR USING THE GRUNSKY COEFFICIENTS

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dc.contributor.authorJung, YoungHoonko
dc.contributor.authorLim, Mikyoungko
dc.date.accessioned2020-05-13T08:20:04Z-
dc.date.available2020-05-13T08:20:04Z-
dc.date.created2019-12-30-
dc.date.created2019-12-30-
dc.date.created2019-12-30-
dc.date.issued2020-02-
dc.identifier.citationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.148, no.2, pp.591 - 600-
dc.identifier.issn0002-9939-
dc.identifier.urihttp://hdl.handle.net/10203/274173-
dc.description.abstractWe consider the decay property of the eigenvalues of the NeumannPoincare operator in two dimensions. As is well known, this operator admits only a sequence of eigenvalues that accumulates to zero as its spectrum for a bounded domain having C-1,C-alpha boundary with alpha is an element of (0, 1). We show that the eigenvalues lambda(k) of the Neumann-Poincare operator ordered by size satisfy that vertical bar lambda(k)vertical bar = O(k(-p-alpha+1/2)) for an arbitrary simply connected domain having C-1+p,C-alpha boundary with p >= 0, alpha is an element of (0,1), and p + alpha > 1/2.-
dc.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.titleA DECAY ESTIMATE FOR THE EIGENVALUES OF THE NEUMANN-POINCARE OPERATOR USING THE GRUNSKY COEFFICIENTS-
dc.typeArticle-
dc.identifier.wosid000515135200013-
dc.identifier.scopusid2-s2.0-85078081269-
dc.type.rimsART-
dc.citation.volume148-
dc.citation.issue2-
dc.citation.beginningpage591-
dc.citation.endingpage600-
dc.citation.publicationnamePROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.1090/proc/14785-
dc.contributor.localauthorLim, Mikyoung-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusVARIATIONAL PROBLEM-
dc.subject.keywordPlusSPECTRUM-
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