Study of weak solutions for parabolic equations with nonstandard growth conditions

被引：36

作者：

Guo, Bin ^{[1
]}

Gao, Wenjie ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 374卷 / 02期

关键词：

Nonlinear parabolic equation; Nonstandard growth condition; Localization of solutions; FUNCTIONALS;

D O I：

10.1016/j.jmaa.2010.09.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors of this paper study the existence and uniqueness of weak solutions of the initial and boundary value problem for u(t) = div((u(sigma) + d(0))vertical bar del u vertical bar(P(x.r)-2)del u) + f (x, t). Localization property of weak solutions is also discussed. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：374 / 384

页数：11

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