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Journal of Mathematical Sciences

, Volume 157, Issue 3, pp 491–495 | Cite as

Nonlinear parabolic problems in perforated domains

  • A. V. Zhuravskaya
Article
  • 20 Downloads

Abstract

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.

Keywords

Asymptotic Expansion Elliptic Problem Strong Convergence Uniform Convergence Parabolic Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Institute of Mathematics, National Academy of SciencesKievUkraine

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