Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation

DOI10.1016/j.jde.2015.10.038zbMath1334.35185OpenAlexW2215931383MaRDI QIDQ898563

Ermal Feleqi

Publication date: 18 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.038

zbMATH Keywords

boundary value problemseigenfunctionsdomain perturbationstability estimates

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (3)

On the polygonal Faber-Krahn inequality ⋮ Unnamed Item ⋮ Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Boundary layer methods for Lipschitz domains in Riemannian manifolds
• Domain perturbations and estimates for the solutions of second order elliptic equations.
• Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
• Elliptic partial differential equations of second order
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Variational methods in shape optimization problems
• Variation and optimization of formes. A geometric analysis
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
• Spectral stability estimates for the eigenfunctions of second order elliptic operators
• Spectral Stability of Higher Order Uniformly Elliptic Operators
• Extension of the notion of a gap to differential operators defined on different open sets
• Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains
• Potential theory on Lipschitz domains in Riemannian manifolds: \(L^p\) Hardy, and Hölder space results

This page was built for publication: Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation