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.

引用

页码：1203 / 1223

页数：21

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