Wong-Zakai Approximations And Attractors For Stochastic Degenerate Parabolic Equations On Unbounded Domains

The Wong-Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximations of stochastic degenerate parabolic equations. We then prove that the attractors of Wong-Zakai approximations converge to the attractor of stochastic degenerate parabolic equations driven by multiplicative white noise.