Obstacle problem for a class of parabolic equations of generalized p-Laplacian type

被引：5
|
作者：
Lindfors, Casimir [1 ]
机构：
[1] Aalto Univ, Inst Math, POB 11100, FI-00076 Aalto, Finland
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 10期
基金：
芬兰科学院;
关键词：
Degenerate/singular parabolic equations; General growth conditions; Obstacle problem; GROWTH-CONDITIONS; GRADIENT REGULARITY; BOUNDARY; SUPERSOLUTIONS; MINIMIZERS; DEGENERATE;
D O I：
10.1016/j.jde.2016.08.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study nonlinear parabolic PDEs with Orlicz-type growth conditions. The main result gives the existence of a unique solution to the obstacle problem related to these equations. To achieve this we show the boundedness of weak solutions and that a uniformly bounded sequence of weak supersolutions converges to a weak supersolution. Moreover, we prove that if the obstacle is continuous, so is the solution. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：5499 / 5540
页数：42
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