带有可乘白噪音的半线性p-Laplacian方程的随机吸引子
Random Attractors of Semilinear p-Laplacian Equation with Multiplicative Noise
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摘要: 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.Abstract: 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).
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