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Homogenization of Dirichlet parabolic systems with variable monotone operators in general perforated domains

Published online by Cambridge University Press:  12 July 2007

Carmen Calvo-Jurado  and
Juan Casado-Díaz
Carmen Calvo-Jurado
Affiliation:
Carmen Calvo-Jurado. Departamento de Matemáticas, Escuela Politécnica, Universidad de Extremadura, Carretera de Trujillo, s//n 10071, Cáceres, Spain (ccalvo@unex.es)
Juan Casado-Díaz
Affiliation:
Departamento de Ecuaciones Diferenciales y Análisis Numérico7, Universidad de Sevilla, c/Tarfia, s/n 41012, Sevilla, Spain (jcasado@numer.us.es)
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Abstract

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We consider the homogenization of parabolic systems with Dirichlet boundary conditions when the operators and the domains in which the problems are posed vary simultaneously. We assume the operators do not depend on t. Then we show that the corrector obtained in a previous paper for the elliptic problem still gives a corrector for the parabolic one. From this result, we easily obtain the limit problem in the parabolic case.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 6 , December 2003 , pp. 1231 - 1248
Copyright
Copyright © Royal Society of Edinburgh 2003