Higher-order Wong-zakai Approximations Of Non-autonomous Stochastic Semi-linear Degenerate Parabolic Equations

In this paper,we consider the long-time behavior of the following non-autonomous stochastic degenerate parabolic equations with white noises:andBy using some new prior estimates,we discuss the higher-order Wong-Zakai approxi-mations of the solutions.At first,we prove the higher-order regularity of solutions in D₀^1,2(D_N,?)?L^p(D_N)(p>2),and then we obtain the upper semi-continuity of random attractors in L^p(D_N)and D₀^1,2(D_N,?).