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• W4313464479 abstract "This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H1(Rn). First, we study the existence and uniqueness of solutions by a noise arising in a continuous random dynamical system and the asymptotic compactness is established by using uniform tail estimate technique, and then the existence of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity. As a motivation of our results, we prove an existence and upper semi-continuity of random attractors with respect to the nonlinearity that enters the system together with the noise." @default.
• W4313464479 created "2023-01-06" @default.
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• W4313464479 date "2022-01-01" @default.
• W4313464479 modified "2023-09-28" @default.
• W4313464479 title "Existence and Upper Semi-Continuity of Random Attractors for Nonclassical Diffusion Equation with Multiplicative Noise on R&lt;sup&gt;n&lt;/sup&gt;" @default.
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• W4313464479 doi "https://doi.org/10.4236/jamp.2022.1012257" @default.
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