Spectra of domains with small spherical Neumann boundary

DOI10.3792/pjaa.58.190zbMath0526.35058OpenAlexW1965036753MaRDI QIDQ595116

Shin Ozawa

Publication date: 1982

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.58.190

zbMATH Keywords

small spherical Neumann boundaryspectra of domains

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Neumann Laplacian in a perturbed domain ⋮ Meso-scale approximations of fields around clusters of defects ⋮ Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole ⋮ Spectral convergence of the Laplace operator with Robin boundary conditions on a small hole ⋮ Magnetic Neumann Laplacian on a domain with a hole ⋮ Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

Cites Work

• An asymptotic formula for the eigenvalues of the Laplacian in a domain with a small hole
• Singular variation of domains and eigenvalues of the Laplacian
• The first eigenvalue of the Laplacian on two dimensional Riemannian manifolds
• Potential and scattering theory on wildly perturbed domains
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