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• W2245592329 abstract "The existence of a unique random attractors in [Formula: see text] for a stochastic reaction-diffusion equation with time-dependent external forces is proved. Due to the presence of both random and non-autonomous deterministic terms, we use a new theory of random attractors which is introduced in [B. Wang, J. Differential Equations 253 (2012) 1544–1583] instead of the usual one. The asymptotic compactness of solutions in [Formula: see text] is established by combining “tail estimate” technique and some new estimates on solutions. This work improves some recent results about the regularity of random attractors for stochastic reaction-diffusion equations." @default.
• W2245592329 created "2016-06-24" @default.
• W2245592329 creator A5040748659 @default.
• W2245592329 date "2015-11-10" @default.
• W2245592329 modified "2023-09-23" @default.
• W2245592329 title "Regularity of random attractors for stochastic reaction-diffusion equations on unbounded domains" @default.
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• W2245592329 doi "https://doi.org/10.1142/s0219493716500064" @default.
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