Eigenvalues of the Laplacian under singular variation of domains -- the Robin problem with obstacle of general shape

DOI10.3792/pjaa.72.124zbMath0862.35080OpenAlexW2037350988MaRDI QIDQ1817242

Shin Ozawa

Publication date: 1 December 1996

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.72.124

zbMATH Keywords

singular variation of domains

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

On the asymptotic formulas for perturbations in the eigenvalues of the Stokes equations due to the presence of small deformable inclusions ⋮ Electromagnetic scattering by small dielectric inhomogeneities. ⋮ Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions ⋮ Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains ⋮ Asymptotic property and convergence estimation for the eigenelements of the Laplace operator

Cites Work

• Spectra of manifolds less a small domain
• The Hadamard variational formula for the Green functions of some normal elliptic boundary value problems
• Asymptotics of eigenvalues of the Laplacian with small spherical Robin boundary
• Spectrum of manifolds with holes
• Spectra of the Laplacian with small Robin conditional boundary
• Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou

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