Hadamard type asymptotics for eigenvalues of the Neumann problem for elliptic operators

DOI10.4171/JST/120zbMath1338.35307arXiv1310.7967OpenAlexW2963963457MaRDI QIDQ294065

F. Blanchet-Sadri, M. Dambrine

Publication date: 9 June 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7967

zbMATH Keywords

asymptotics of eigenvaluesNeumann problemdomain variationHadamard formula

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Variational methods for eigenvalues of operators (49R05)

Related Items (1)

Hadamard asymptotics for eigenvalues of the Dirichlet Laplacian

Cites Work

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• Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian
• Hadamard's formula inside and out
• The Dirichlet problem for the biharmonic equation in a Lipschitz domain
• Elliptic partial differential equations of second order
• On the Hadamard Formula for Second Order Systems in Non-Smooth Domains
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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