Asymptotic behavior of stochastic p-Laplacian-type equation with multiplicative noise

作者：Zhao Wenqiang^*

来源：Boundary Value Problems, 2012, 61.

DOI：10.1186/1687-2770-2012-61

• random dynamical systems
• stochastic p-Laplacian-type equation
• random attractors

The unique existence of solutions to stochastic p-Laplacian-type equation with forced term satisfying some growth and dissipative conditions is established for the initial value in L-2(D). The generation of a continuous random dynamical system and the existence of a random attractor for stochastic p-Laplacian-type equation driven by multiplicative noise are obtained. Furthermore, we obtain a random attractor consisting of a single point and thus the system possesses a unique stationary solution.

• 出版日期2012