The eigenvalues of the Laplacian on domains with small slits

DOI10.1090/S0002-9947-2010-04943-8zbMath1208.35095arXiv0802.2597WikidataQ125966880 ScholiaQ125966880MaRDI QIDQ3065737

Luc Hillairet, Christopher M. Judge

Publication date: 6 January 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2597

zbMATH Keywords

Dirichlet boundary conditionsNeumann boundary conditionselliptic coordinatesLipschitz boundaryradial Mathieu functionsslit domainKato's theory of analytic perturbations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

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