A shape of eigenfunction of the Laplacian under singular variation of domains

DOI10.3792/PJAA.59.315zbMath0551.35065OpenAlexW2052577101MaRDI QIDQ801217

Shin Ozawa

Publication date: 1983

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.59.315

zbMATH Keywords

Dirichlet problemseigenfunctionsLaplacian

Mathematics Subject Classification ID

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

Related Items (2)

Random media and quasi-classical limit of Schrödinger operator ⋮ A shape of eigenfunction of the Laplacian under singular variation of domains. II: The Neumann boundary condition

Cites Work

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• On an elaboration of M. Kac's theorem concerning eigenvalues of -\(\Delta\) in a region with randomly distributed small obstacles
• Singular variation of domains and eigenvalues of the Laplacian
• ASYMPTOTICS OF SOLUTIONS OF THE DIRICHLET PROBLEM IN A DOMAIN WITH A TRUNCATED THIN TUBE

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