Fractal dimension of attractors for a stochastic wave equation with nonlinear damping and white noise

被引：27

作者：

Fan, Xiaoming ^{[1
]}

Wang, Yaguang

机构：

[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2007年 / 25卷 / 02期

基金：

中国国家自然科学基金;

关键词：

fractal dimension; random attractors; wave equation; white noise;

D O I：

10.1080/07362990601139602

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of compact random attractors and their fractal dimension for the random dynamical system associated with a stochastic wave equation with nonlinear damping and white noise.

引用

页码：381 / 396

页数：16

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