Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term

被引：20

作者：

Ma, Qiaozhen ^{[1
]}

Wang, Xiaoping ^{[1
]}

Xu, Ling ^{[1
]}

机构：

[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

nonclassical reaction-diffusion equations; time-dependent attractors; regularity; DYNAMICS; H-1(R-N);

D O I：

10.1186/s13661-015-0513-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the notation of time-dependent attractors, we prove the existence and the regularity of time-dependent global attractors for a class of nonclassical reaction-diffusion equations when the forcing term g(x) is an element of H-1 (Omega) and the nonlinear function satisfies the critical exponent growth, which is weaker than the conditions used in (Jing and Liu in Appl. Anal. 94(7): 1439-1449, 2015).

引用

页码：1 / 11

页数：11

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