Interactions Between Moderately Close Inclusions for the Two-Dimensional Dirichlet–Laplacian

DOI10.1093/amrx/abv008zbMath1338.35124arXiv1502.07070OpenAlexW2330494323MaRDI QIDQ2800164

Marc Dambrine, Christophe Lacave, Virginie Bonnaillie-Noël

Publication date: 15 April 2016

Published in: Applied Mathematics Research eXpress (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07070

zbMATH Keywords

Dirichlet problemasymptotic expansionconformal mappingPoisson equationperforated domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Related Items (6)

The Dirichlet problem in a planar domain with two moderately close holes ⋮ A mixed problem for the Laplace operator in a domain with moderately close holes ⋮ A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary ⋮ Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation ⋮ Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian

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