Spectra of the Laplacian with small Robin conditional boundary

DOI10.3792/pjaa.72.53zbMath0857.35094OpenAlexW2005238894MaRDI QIDQ1924881

Shin Ozawa

Publication date: 22 October 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.72.53

zbMATH Keywords

iterated Green function

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains ⋮ Eigenvalues of the Laplacian under singular variation of domains -- the Robin problem with obstacle of general shape

Cites Work

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• Singular variation of the ground state eigenvalue for a semilinear elliptic equation
• Asymptotics of eigenvalues of the Laplacian with small spherical Robin boundary
• Singular Hadamard's variation of domains and eigenvalues of the Laplacian. II
• Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II
• Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. I

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