Regularity of random attractors for stochastic reaction-diffusion equations on unbounded domains
2015 ◽
Vol 16
(01)
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pp. 1650006
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Keyword(s):
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.
2009 ◽
Vol 246
(2)
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pp. 845-869
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1999 ◽
Vol 66
(1)
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pp. 125-142
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2015 ◽
Vol 29
(3)
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pp. 996-1026
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2011 ◽
Vol 384
(1)
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pp. 160-172
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2008 ◽
Vol 245
(7)
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pp. 1775-1800
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