Extinction and asymptotic behavior of solutions for nonlinear parabolic equations with variable exponent of nonlinearity

被引：17

作者：

Gao, Yanchao ^{[1
]}

Gao, Wenjie ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

nonlinear parabolic equation; nonstandard growth condition; extinction; p(x; t)-Laplace operator; FUNCTIONALS; EXISTENCE;

D O I：

10.1186/1687-2770-2013-164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the existence and extinction of weak solutions of the initial and boundary value problem for . First, the authors apply the method of parabolic regularization and Galerkin's method to prove the existence of solutions to the problem mentioned and then obtain the comparison principle by arguing by contradiction. Furthermore, the authors prove that the solution vanishes in finite time and approaches 0 in norm as .

引用

页码：1 / 10

页数：10

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