Uniform stability of the Dirichlet spectrum for rough outer perturbations

DOI10.4171/JST/57zbMath1294.35045arXiv1206.2616MaRDI QIDQ398188

Bruno Colbois, Mette Iversen, Alexandre Girouard

Publication date: 12 August 2014

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

Full work available at URL: https://arxiv.org/abs/1206.2616

zbMATH Keywords

Dirichlet eigenvaluesspectral stabilitycomplete smooth Riemannian manifold

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) PDEs on manifolds (35R01)

Related Items (3)

The spectrum of the Laplacian: A geometric approach ⋮ Lower bounds for the first eigenvalue of the magnetic Laplacian ⋮ The Steklov and Laplacian spectra of Riemannian manifolds with boundary

Cites Work

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• Approximation of Ground State Eigenvalues and Eigenfunctions of Dirichlet Laplacians
• Sharp boundary estimates for elliptic operators

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