Attractors for a damped stochastic wave equation of Sine-Gordon type with sublinear multiplicative noise

被引：91

作者：

Fan, Xiaoming ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Univ Elect Sci & Technol China, Dept Appl Chem, Chengdu 610054, Peoples R China

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2006年 / 24卷 / 04期

关键词：

Hausdorff dimension; multiplicative noise; random attractor; Sine-Gordon; sublinear;

D O I：

10.1080/07362990600751860

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of compact random attractors is proved for a damped stochastic wave equation of Sine-Gordon type with sublinear multiplicative noise under homogeneous Dirichlet boundary condition. To be important, in this note a precise estimate of upper bound of Hausdorff dimension of the random attractors is obtained in lower dimension.

引用

页码：767 / 793

页数：27

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