About: Shape analyticity and singular perturbations for layer potential operators

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/w
Subject	Integral representations, integral operators, integral equations methods Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation Boundary value problems for second-order elliptic equations Linear integral equations Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) domain perturbation perforated domain asymptotic behavior double layer potential Laplace operator shape sensitivity analysis Single layer potential special nonlinear operators
License	https://creativecommons.org/licenses/by/4.0
Title	Shape analyticity and singular perturbations for layer potential operators
Date	2022-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/m2an220046/m/print http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/m2an220046/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/m2an220046/authorship/1 http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/m2an220046/authorship/2 http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/m2an220046/authorship/3
Author	Dalla Riva, Matteo Musolino, Paolo Musolino, Paolo Luzzini, Paolo Dalla Riva, Matteo Luzzini, Paolo
Abstract	We study the effect of regular and singular domain perturbations on layer potential operators for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic image ϕ(∂Ω) of a reference set ∂Ω and we present some real analyticity results for the dependence upon the map ϕ. Then we introduce a perforated domain Ω( ε) with a small hole of size ε and we compute power series expansions that describe the layer potentials on ∂Ω( ε) when the parameter ε approximates the degenerate value ε = 0.
article type	research-article
publisher identifier	m2an220046
Date Copyrighted	2022-01-01(xsd:dateTime)
Rights	© The authors. Published by EDP Sciences, SMAI 2022
Rights Holder	The authors. Published by EDP Sciences, SMAI 2022
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2022/volume_56/issue_6/m2an220046/w/record

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