Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains

DOI10.1007/978-1-4419-1343-2_2zbMath1183.47040arXiv0810.3823OpenAlexW1629142542MaRDI QIDQ5188043

Pier Domenico Lamberti, Gerassimos Barbatis, Victor I. Burenkov

Publication date: 10 March 2010

Published in: Around the Research of Vladimir Maz'ya II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3823

zbMATH Keywords

resolventspectral theoryelliptic operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05)

Related Items (13)

SPECTRAL STABILITY ESTIMATES FOR ELLIPTIC OPERATORS SUBJECT TO DOMAIN TRANSFORMATIONS WITH NON‐UNIFORMLY BOUNDED GRADIENTS ⋮ Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in \(\mathbb R^N\) ⋮ Spectral stability estimates for the eigenfunctions of second order elliptic operators ⋮ Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators ⋮ Spectral analysis of sheared nanoribbons ⋮ Some stability estimates for the symmetrized first eigenfunction of certain elliptic operators ⋮ On the polygonal Faber-Krahn inequality ⋮ Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation ⋮ Multimaterial topology optimization of contact problems using phase field regularization ⋮ Spectral stability estimates of Dirichlet divergence form elliptic operators ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions ⋮ On differentiability of eigenvalues of second order elliptic operators on non-smooth domains ⋮ Stability estimates in H01 for solutions of elliptic equations in varying domains

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