Series expansions for the solution of the Dirichlet problem in a planar domain with a small hole

DOI10.3233/ASY-151283zbMath1327.35079OpenAlexW1571246270MaRDI QIDQ5261150

Paolo Musolino, Matteo Dalla Riva, Sergei V. Rogosin

Publication date: 1 July 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151283

zbMATH Keywords

potential theoryreal analytic continuation in Banach spacedoubly connected domainDirichlet problem for the Laplace equationsingularly perturbed perforated domain

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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