On the Hadamard Formula for Second Order Systems in Non-Smooth Domains

DOI10.1080/03605302.2011.626100zbMath1247.35075OpenAlexW1984117288MaRDI QIDQ2904529

No author found.

Publication date: 14 August 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-77549

zbMATH Keywords

Hadamard formuladomain perturbationsasymptotic of eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items

Hadamard type asymptotics for eigenvalues of the Neumann problem for elliptic operators ⋮ On Rayleigh's formula for the first Dirichlet eigenvalue of a radial perturbation of a ball ⋮ Domain dependence of eigenvalues of elliptic type operators ⋮ Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions ⋮ Hadamard asymptotics for eigenvalues of the Dirichlet Laplacian ⋮ On differentiability of eigenvalues of second order elliptic operators on non-smooth domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Layer potentials and boundary value problems for elliptic systems in Lipschitz domains
• On the Hadamard formula for nonsmooth domains
• Regularity of variational solutions to linear boundary value problems in Lipschitz domains
• Variational methods in shape optimization problems
• \(L^{q}\)-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary

This page was built for publication: On the Hadamard Formula for Second Order Systems in Non-Smooth Domains