Uniform asymptotic formulae for Green's functions in singularly perturbed domains

DOI10.1016/j.cam.2006.10.038zbMath1134.35031arXivmath/0601707OpenAlexW1978581361MaRDI QIDQ2381611

Vladimir Gilelevich Maz'ya, Alexander B. Movchan

Publication date: 18 September 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601707

zbMATH Keywords

Green's functionsingular perturbationsHadamard's variational formula

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Meso-scale approximations of fields around clusters of defects ⋮ Asymptotic Analysis of Solutions to Transmission Problems in Solids with Many Inclusions ⋮ Mesoscale approximations for solutions of the Dirichlet problem in a perforated elastic body ⋮ Uniform Asymptotics of Green's Kernels for Mixed and Neumann Problems in Domains with Small Holes and Inclusions ⋮ Mesoscale Models and Approximate Solutions for Solids Containing Clouds of Voids ⋮ Uniform asymptotics of Green's kernels in perforated domains and meso-scale approximations

Cites Work

• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item

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