Attractors for the stochastic reaction-diffusion equation driven by linear multiplicative noise with a variable coefficient

作者：Fan Xiaoming^*; Chen Huatao

来源：Journal of Mathematical Analysis and Applications, 2013, 398(2): 715-728.

DOI：10.1016/j.jmaa.2012.09.027

• Stochastic dynamical system
• Random attractors
• Hausdorff dimension

By the classic law of iterated logarithm, we get a new way to study the existence of random attractors for the stochastic reaction-diffusion equation driven by linear multiplicative noise with a variable coefficient and estimate the Hausdorff dimensions of the random attractors.

• 出版日期2013-2-15
• 单位哈尔滨工业大学; 西南交通大学