Domain perturbations and estimates for the solutions of second order elliptic equations.

DOI10.1016/S0021-7824(02)01256-4zbMath1112.35312MaRDI QIDQ1406925

Giuseppe Savaré, Giulio Schimperna

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemdomain perturbationHausdorff distanceuniformly Lipschitz domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Regularity of solutions to Dirichlet boundary value problem in domains on a manifold ⋮ Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ 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 ⋮ On boundary value problems for elliptic operators in the case of domains on manifolds ⋮ 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 ⋮ Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization ⋮ Uniform weighted estimates on pre-fractal domains ⋮ Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation ⋮ Characterization of the shape stability for nonlinear elliptic problems ⋮ Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains ⋮ Stability estimates in H01 for solutions of elliptic equations in varying domains ⋮ Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

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