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

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