Random attractors for stochastic semi-linear degenerate parabolic equations with additive noise in Lq q

摘要

This paper studies the random dynamical system generated by the stochastic semi-linear degenerate parabolic equations with additive noise in a bounded domain D ? R~n and proves the existence of random attractors for such random dynamical system in L~q(D) for any q ≥ 2. The obtained results improve some recent ones for this problem.