Stability estimates in H01 for solutions of elliptic equations in varying domains

DOI10.1002/mma.2948zbMath1283.35024arXiv1205.2027OpenAlexW1675958511MaRDI QIDQ2870723

José M. Arrieta, Gerassimos Barbatis

Publication date: 21 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2027

zbMATH Keywords

strong convergenceSobolev spaceelliptic equationdomain perturbation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Theoretical approximation in context of PDEs (35A35) Perturbations in context of PDEs (35B20)

Related Items (1)

Weak and strong approximation of semigroups on Hilbert spaces

Cites Work

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• Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators
• Varying domains: Stability of the Dirichlet and the Poisson problem
• Domain perturbations and estimates for the solutions of second order elliptic equations.
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Characterization of the shape stability for nonlinear elliptic problems
• On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian
• Uniform convergence for elliptic problems on varying domains
• Stability and Regularity of Higher Order Elliptic Operators with Measurable Coefficients
• Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains

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