Regularity of pullback attractors for nonautonomous nonclassical diffusion equations

被引：18
|
作者：
Wang, Yonghai [1 ]
Zhu, Zilong [1 ]
Li, Pengrui [1 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 459卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonclassical diffusion equation; Pullback attractor; Regularity; DAMPED WAVE-EQUATION; GLOBAL ATTRACTORS; ASYMPTOTIC REGULARITY; HEAT-CONDUCTION; R-N; DYNAMICS; EXPONENT; MEMORY;
D O I：
10.1016/j.jmaa.2017.10.075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the regularity of pullback attractors for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, under suitable assumptions, we prove that there exists a pullback attractor A = {A(t)}(t is an element of R) in H-0(1)(Omega) for a nonautonomous nonclassical diffusion equation, and for each t is an element of R, A(t) is bounded in H-2 (Omega) boolean AND H-0(1)(Omega). (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：16 / 31
页数：16
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