Remarks on Hadamard's variation of eigenvalues of the Laplacian

DOI10.3792/pjaa.55.328zbMath0457.35067OpenAlexW1965080577MaRDI QIDQ1150760

Shin Ozawa

Publication date: 1979

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.55.328

zbMATH Keywords

eigenvalueheat equationasymptotic expansionLaplaciandomain variationT-stationary domain

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral theory and eigenvalue problems for partial differential equations (35P99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Hadamard variational formula for eigenvalues of the Stokes equations and its application ⋮ Perturbation of domains and Green kernels of heat equations. II ⋮ Perturbation of domains and Green kernels of heat equations. III ⋮ Asymptotic behavior of normal derivatives of eigenfunctions for the Dirichlet Laplacian

Cites Work

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• Perturbation of domains and Green kernels of heat equations
• Hadamard's variation of the Green kernels of heat equations and their traces. I
• On the heat equation and the index theorem
• Convexity of domain functionals
• The Resolvent of an Elliptic Boundary Problem
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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