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

页码：16 / 31

页数：16

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