Spectral stability of the Robin Laplacian

DOI10.1134/S0081543808010069zbMath1233.35082OpenAlexW2057473548MaRDI QIDQ666546

Massimo Lanza de Cristoforis, Victor I. Burenkov

Publication date: 8 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808010069

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (6)

Spectral stability of general non-negative selfadjoint operators with applications to Neumann-type operators ⋮ Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold ⋮ Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains ⋮ Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains ⋮ A tribute to Massimo Lanza de Cristoforis ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions

Cites Work

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• Spectral stability of general non-negative selfadjoint operators with applications to Neumann-type operators
• Spectral stability of the Neumann Laplacian.
• Spectral stability of nonnegative self-adjoint operators
• Absolute continuity on tracks and mappings of Sobolev spaces
• A global Lipschitz continuity result for a domain-dependent Neumann eigenvalue problem for the Laplace operator

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