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.
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页码：491 / 495
页数：4
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