The eigenvalues of the Laplacian and perturbation of boundary condition

DOI10.3792/pjaa.55.121zbMath0434.35069OpenAlexW2047458974MaRDI QIDQ1139744

Shin Ozawa

Publication date: 1979

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.55.121

zbMATH Keywords

Dirichlet problemsLaplacianperturbation of boundary conditionsimplicity of eigenvaluesstate of eigenvaluesthird boundary problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Quantum ergodicity of boundary values of eigenfunctions

Cites Work

• The spectrum of the Laplacian and boundary perturbation. I
• The Hadamard variational formula for the Green functions of some normal elliptic boundary value problems
• Generic Properties of Eigenfunctions