Abstract
A class of retarded semilinear parabolic equation driven by an additive Q-Wiener process is studied. We construct a process via the Wiener shift to provide stationary approximations of the noise, and show that solutions of stationary approximations converge pointwisely to solutions of the stochastic retarded semilinear parabolic equation. We also prove the existence of Ck,γ smooth inertial manifolds for the stationary approximations, and show that such inertial manifolds converge to the those of the stochastically perturbed retarded semilinear parabolic equation.
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