Singular Hadamard's variation of domains and eigenvalues of the Laplacian. II

DOI10.3792/pjaa.57.242zbMath0509.35060OpenAlexW4249847828MaRDI QIDQ1838087

Shin Ozawa

Publication date: 1981

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.57.242

zbMATH Keywords

eigenvaluesLaplaciansingular Hadamard variation

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Compact Riemann surfaces and uniformization (30F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Surgery of domain and the Green's function of the Laplacian
• Singular Hadamard's variation of domains and eigenvalues of the Laplacian
• 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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