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

被引：18
|
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).
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页码：1 / 11
页数：11
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