Eigenvalue asymptotics for almost flat compact hypersurfaces

DOI10.1134/S1064562412010085zbMath1247.58009OpenAlexW2057314705MaRDI QIDQ416915

Pedro Freitas, Denis I. Borisov

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412010085

zbMATH Keywords

Laplace-Beltrami operatorperturbation of eigenvaluesalmost flat surface

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Perturbation theory of linear operators (47A55) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

• Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains
• Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in \(\mathbb R^d\)
• Precise bounds and asymptotics for the first Dirichlet eigenvalue of triangles and rhombi
• Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics
• On the Invariant Spectrum of S ¹ -Invariant Metrics on S ²
• Unnamed Item

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