Homogenization of the Neumann problem in a domain a part of which is a set of channels
type: Item
instance of: scholarly article
title: Homogenization of the Neumann problem in a domain a part of which is a set of channels
zbMATH Open document ID: 1035.35011
DOI: 10.1023/A:1012534115274
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: The author studies the asymptotic behaviour of the solution of the Neumann problem in a domain partially formed by channels of radius and length depending on \(\varepsilon\) (\(\varepsilon\) is a small parameter). The channels are assumed to be arranged \(\varepsilon\)-periodically. The problem is solved by new techniques which permit to estimate the closedness of solutions of the original and limit problems as well as the closedness of solutions of the corresponding spectral problems and study similar problems for higher-order equations.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1915936
zbMATH Keywords: domain with channels
author: T. A. Shaposhnikova
reviewed by: Marco Codegone
MaRDI profile type: Publication
full work available at URL: a:1012534115274
OpenAlex ID: W105259558
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description: scientific article; zbMATH DE number 1915936