Surgery of domain and the Green's function of the Laplacian

DOI10.3792/pjaa.56.459zbMath0468.35033OpenAlexW1964721359MaRDI QIDQ1156291

Shin Ozawa

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.459

zbMATH Keywords

Green's functionDirichlet boundary conditionsLaplace operatorasymptotic formula for the eigenvalues

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou ⋮ Hadamard variational formula for the Green's function of the boundary value problem on the Stokes equations ⋮ The first eigenvalue of the Laplacian on two dimensional Riemannian manifolds ⋮ Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains ⋮ Singular Hadamard's variation of domains and eigenvalues of the Laplacian. II

Cites Work

• Singular variation of domains and eigenvalues of the Laplacian
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