Uniform approximation of solutions of nonlinear parabolic problems in perforated domains

• Date: 2004
• Main Authors: Zhuravskaya, A. V., Skrypnik, I. V., Журавская, А. В., Скрыпник, И. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3838
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the behavior of a remainder of an asymptotic expansion for solutions of a quasi-linear parabolic Cauchy-Dirichlet problem in a sequence of domains with fine-grained boundary. By using a modification of an asymptotic expansion and new pointwise estimates for a solution of a model probl...