A MODIFIED PROOF OF PULLBACK ATTRACTORS IN A SOBOLEV SPACE FOR STOCHASTIC FITZHUGH-NAGUMO EQUATIONS

被引：75
|
作者：
Li, Yangrong [1 ]
Yin, Jinyan [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 04期
关键词：
Random dynamical system; stochastic FitzHugh-Nagumo equations; pullback attractors; bi-spatial attractors; truncation method; REACTION-DIFFUSION EQUATIONS; DEGENERATE PARABOLIC EQUATIONS; H-1-RANDOM ATTRACTORS; GLOBAL ATTRACTORS; EXISTENCE; REGULARITY; SYSTEMS;
D O I：
10.3934/dcdsb.2016.21.1203
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bi-spatial pullback attractor is obtained for non-autonomous and stochastic FitzHugh-Nagumo equations when the initial space is L-2(R-n)(2) and the terminate space is H-1(R-n) x L-2(R-n). Some new techniques of positive and negative truncations are used to investigate the regularity of attractors for coupling equations and to correct the essential mistake in [T. Q. Bao, Discrete Cont. Dyn. Syst. 35(2015), 441-466]. A counterexample is given for an important lemma for H-1-attractor in several literatures included above.
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页码：1203 / 1223
页数：21
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