Nonlinear parabolic problems in perforated domains

被引：0

作者：

Zhuravskaya A.V. ^{[1
]}

机构：

[1] Institute of Mathematics, National Academy of Sciences, Kiev

来源：

Journal of Mathematical Sciences | 2009年 / 157卷 / 3期

关键词：

Asymptotic Expansion; Elliptic Problem; Strong Convergence; Uniform Convergence; Parabolic Problem;

D O I：

10.1007/s10958-009-9329-y

中图分类号：

学科分类号：

摘要：

The behavior of the remainder term of the asymptotic expansion for solutions of a quasi-linear parabolic Cauchy-Dirichlet problem in a sequence of domains with fine-granulated boundary is studied. By using a modification of the asymptotic expansion and new pointwise estimates of solutions of the model problem, the uniform convergence of the remainder term to zero is proved. © 2009 Springer Science+Business Media, Inc.

引用

页码：491 / 495

页数：4

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