Attractors for the nonclassical diffusion equations with fading memory

被引：31
|
作者：
Wang, Xuan [1 ]
Yang, Lu [2 ]
Zhong, Chengkui [2 ,3 ]
机构：
[1] NW Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonclassical diffusion equation; Global attractor; Critical exponent; Fading memory; DAMPED WAVE-EQUATION; GLOBAL ATTRACTORS; ASYMPTOTIC REGULARITY; HYPERBOLIC EQUATION; DYNAMICS;
D O I：
10.1016/j.jmaa.2009.09.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss long-time dynamical behavior of the nonclassical diffusion equation with fading memory when nonlinearity is critical. The existence and regularity of global attractors in weak topological space and strong topological space are obtained, while the forcing term only belongs to H-1(Omega) and L-2(Omega) respectively. The results in this part are new and appear to be optimal corresponding to the forcing term. (C) 2009 Published by Elsevier Inc.
引用
收藏
页码：327 / 337
页数：11
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