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

作者：Fan, Xiaoming^*

来源：Stochastic Analysis and Applications, 2006, 24(4): 767-793.

DOI：10.1080/07362990600751860

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

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.

• 出版日期2006
• 单位上海交通大学