Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains

被引：4

作者：

Silva R.P. ^{[1
]}

机构：

[1] Instituto de Geociências e Ciências Exatas, Universidade Estadual Paulista, Rio Claro, SP

来源：

São Paulo Journal of Mathematical Sciences | 2015年 / 9卷 / 2期

基金：

巴西圣保罗研究基金会;

关键词：

Global attractors; p-Laplacian; Thin domains;

D O I：

10.1007/s40863-015-0015-3

中图分类号：

学科分类号：

摘要：

We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we show the existence of global attractors and we analyze convergence properties of the solutions as well of the attractors. © 2015, Instituto de Matemática e Estatística da Universidade de São Paulo.

引用

页码：251 / 262

页数：11

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