Asymptotic behavior of stochastic p-Laplacian-type equation with multiplicative noise
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China
Boundary Value Problems 2012, 2012:61 doi:10.1186/1687-2770-2012-61Published: 22 June 2012
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 . 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.
MSC: 60H15, 35B40, 35B41.