Two-scale homogenization of implicit degenerate evolution equations
type: Item
instance of: scholarly article
title: Two-scale homogenization of implicit degenerate evolution equations
zbMATH Open document ID: 0896.35014
author: G. W. Clark
author: L. A. Packer
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-09-17T00:00:00Z
review text: In the framework of two-scale convergence for homogenization of partial differential equations with periodic coefficients, the authors show how the two-scale method can also be applied to evolution equations, including degenerate and implicit equations, where the coefficients are \(\varepsilon\)-periodic in the space variable. The results are applied to a wide class of initial-boundary value problems. Various aspects of homogenization problems are discussed, including the case in which the limiting solutions satisfy initial and boundary conditions. Some examples are given illustrating possible applications of the general results.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 1123599
zbMATH Keywords: periodic coefficients
zbMATH Keywords: initial-boundary value problems
reviewed by: Marco Codegone
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5577
OpenAlex ID: W2077752997
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DOI: 10.1006/JMAA.1997.5577
description: scientific article; zbMATH DE number 1123599