Global attractors for quasilinear parabolic equations on unbounded thin domains

被引：4
|
作者：
Silva, Ricardo P. [1 ]
机构：
[1] Univ Brasilia, Inst Ciencias Exatas, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
MONATSHEFTE FUR MATHEMATIK | 2016年 / 180卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
Thin domains; p-Laplacian; Global attractors;
D O I：
10.1007/s00605-016-0902-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we are concerned with 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.
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页码：649 / 660
页数：12
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