Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:306

Article

Calvo-Jurado, C ; Casado-Díaz, J

关键词: homogenization;    Dirichlet problems;    parabolic problems;    varying domains;    H-convergence;   

DOI  :  10.1016/j.jmaa.2004.12.051

来源: Elsevier

【 摘 要 】

We study the asymptotic behaviour of the solutions of linear parabolic Dirichlet problems when the coefficients and the domains where the problems are posed vary simultaneously. In the limit problem it appear the H-limit of the operators, and as it is usual in the homogenization of Dirichlet problems, a new term of order zero. We also obtain a corrector result. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free