SPECTRAL STABILITY ESTIMATES FOR ELLIPTIC OPERATORS SUBJECT TO DOMAIN TRANSFORMATIONS WITH NON‐UNIFORMLY BOUNDED GRADIENTS

DOI10.1112/S0025579311002397zbMath1253.47030arXiv1101.2545OpenAlexW3104924322MaRDI QIDQ2902663

Pier Domenico Lamberti, Gerassimos Barbatis

Publication date: 22 August 2012

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2545

zbMATH Keywords

rate of convergencespectral stabilityuniformly elliptic operatordomain transformation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05)

Related Items (6)

Conformal spectral stability estimates for the Dirichlet Laplacian ⋮ Conformal spectral stability estimates for the Neumann Laplacian ⋮ EIGENVALUES OF THE FINSLER p ‐LAPLACIAN ON VARYING DOMAINS ⋮ Shape sensitivity analysis of the Hardy constant ⋮ Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in \(\mathbb R^N\)
• Spectral stability of general non-negative selfadjoint operators with applications to Neumann-type operators
• Applications of a commutation formula
• Spectral stability of the Neumann Laplacian.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Estimates in 𝐿_{𝑝} and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
• Spectral Stability of Higher Order Uniformly Elliptic Operators
• Approximation of Ground State Eigenvalues and Eigenfunctions of Dirichlet Laplacians
• Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains

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