A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach

DOI10.1007/978-3-0348-0516-2_15zbMath1266.35039arXiv1307.1612OpenAlexW3121869931MaRDI QIDQ4912921

Paolo Musolino

Publication date: 28 March 2013

Published in: Advances in Harmonic Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1612

zbMATH Keywords

Dirichlet problemPoisson equationperiodically perforated domainreal analytic continuation in Banach spacesingularly perturbed domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)

Related Items (6)

Analytic dependence on parameters for Evans' approximated weak KAM solutions ⋮ Singular behavior for a multi-parameter periodic Dirichlet problem ⋮ Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach ⋮ A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach ⋮ Shape analysis of the longitudinal flow along a periodic array of cylinders ⋮ A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

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