Singular variation of domain and eigenvalues of the Laplacian with the third boundary condition

DOI10.3792/pjaa.68.186zbMath0838.35089OpenAlexW1983828796MaRDI QIDQ1803570

Shin Ozawa, Susumu Roppongi

Publication date: 29 June 1993

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.68.186

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

The Hadamard variation of the ground state value of some quasi-linear elliptic equations ⋮ Meso-scale approximations of fields around clusters of defects

Cites Work

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• The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition
• Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
• Eigenvalue problems for nonsmoothly perturbed domains
• Potential and scattering theory on wildly perturbed domains
• Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. I
• Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou
• Spectre du laplacien et écrasement d'anses

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