Abstract
In this paper, we consider the asymptotic behavior of random reaction-diffusion delay equations driven by colored noise defined on unbounded domains. We firstly establish the existence and uniqueness of pullback random attractors for the continuous cocycle associated with the equation, and then consider the convergence of random attractors when colored noise approximates white noise. The methods of uniform tail-estimate and operator decomposition are employed to obtain the pullback asymptotic compactness of the solutions in order to overcome the non-compactness of the Sobolev embeddings on unbounded domains.
Funding Statement
This work is supported by NSFC (11961059).
Citation
Wenjun Ma. Qiaozhen Ma. "Asymptotic Behavior of Random Reaction-diffusion Delay Equations Driven by Colored Noise." Taiwanese J. Math. 27 (4) 759 - 798, August, 2023. https://doi.org/10.11650/tjm/230301
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