Perturbation of the diffusion and upper semicontinuity of attractors

被引：6
|
作者：
Arrieta, JM [1 ]
Carvalho, AN
Rodríguez-Bernal, A
机构：
[1] Univ Complutense Madrid, Fac Matemat, Dept Matemat Aplicada, Madrid 28040, Spain
[2] Univ Sao Paulo, Inst Ciencias Matemat, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
来源：
APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 05期
关键词：
parabolic problems; perturbation of the diffusion; uniform bounds; upper semicontinuity of attractors;
D O I：
10.1016/S0893-9659(99)00069-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain uniform bounds for attractors of parabolic problems with nonlinear boundary conditions with respect to perturbations in the diffusion coefficients. These bounds are the main tool to obtain continuity properties of the attractors relatively to perturbations of the diffusion coefficient. We study two examples where the diffusion is perturbed: one related to homogenization theory and the other taken from composite materials where the diffusion goes to infinity in some subdomain. (C) 1999 Elsevier Science Ltd. All rights reserved.
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页码：37 / 42
页数：6
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