带有可乘白噪音的半线性p-Laplacian方程的随机吸引子(英文)

Random Attractors of Semilinear p-Laplacian Equation with Multiplicative Noise

主要说明随机半线性p-Laplacian方程的解生成一个随机动力系统,这个动力系统在L2(G)中存在随机吸引子.

In this paper, the authors show that the stochastic semilinear p-Laplacian equation can be solved pathwise and the unique solution generates a random dynamical system（RDS）. Such RDS possesses a compact random attractor in L2 （G）.