Homogenization of solutions of a Neumann problem for the Laplace operator in a domain with a perforated inner boundary
type: Item
instance of: scholarly article
title: Homogenization of solutions of a Neumann problem for the Laplace operator in a domain with a perforated inner boundary
zbMATH Open document ID: 1074.35512
author: V. V. Yablokov
published in: Moscow University Mathematics Bulletin
publication date: 2003-01-08T00:00:00Z
review text: The paper addresses the Poisson equation in domains consisting of two parts. It is assumed that these parts are connected by ``holes'' on the inner boundary between the parts. A zero Dirichlet condition is prescribed on the external boundary, while the Neumann condition is prescribed on the inner boundary. The author establishes the estimates for the deviation of solutions to the initial problem from the solution of the averaged problem.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1851285
zbMATH Keywords: Neyman problem
zbMATH Keywords: Laplace operator
zbMATH Keywords: perforated internal boundary
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1851285