Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space

DOI10.1006/jfan.1999.3442zbMath0948.47047OpenAlexW2040731988MaRDI QIDQ1306268

Bent Fuglede

Publication date: 19 November 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3442

zbMATH Keywords

Dirichlet Laplacianhomogeneous Dirichlet boundary conditiondomain dependence of eigenvalues

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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