ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN

被引：0
|
作者：
Li, Yongjun [1 ]
Wei, Jinying [1 ]
机构：
[1] Lanzhou City Univ, Sch Math, 11 Jiefang Rd, Lanzhou 730070, Gansu, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Reaction diffusion equation; semigroup; exponential attractor; EXPONENTIAL ATTRACTORS; GLOBAL ATTRACTORS; EXISTENCE; SYSTEM;
D O I：
10.11948/2018.1186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the asymptotic dynamics for reaction diffusion equation defined in R-n. We will prove that the equation possesses a fixed point when the nonlinearity satisfies some restrictive conditions and then we show that the fixed point is an exponential attractor.
引用
收藏
页码：1186 / 1193
页数：8
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