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| The aim of this talk is to study the regularity of random attractors for a class of stochastic reaction diffusion equations with time-dependent external forces in unbounded domains. The regularity of attractors in deterministic case, e.g. global attractors, uniform attractors, pullback attractors, is well established by many mathematicians. However, their methods seem not applicable to the stochastic case due to the irregularity of the random terms. To overcome this difficulty, we introduce new ideas which combine tail estimates of solutions and careful estimates of the nonlinearity as well as the time derivative of the solution. |
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