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- W4313431666 abstract "In this paper, we consider the asymptotic behavior of solutions for nonautonomous stochastic parabolic equation with nonstandard growth condition driven by nonlinear multiplicative noise for the first time. First, by making use of variational method, we prove the existence and uniqueness of solutions, and then the mean random dynamical systems generated by stochastic parabolic equations with variable exponents are obtained. Finally, due to the influence of variable indexes (dependent on space variable), we show the existence of weak mean random attractors under suitable assumptions on the variable exponents and the diffusion term." @default.
- W4313431666 created "2023-01-06" @default.
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- W4313431666 date "2023-02-03" @default.
- W4313431666 modified "2023-09-27" @default.
- W4313431666 title "Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents" @default.
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- W4313431666 doi "https://doi.org/10.1142/s0219493723500193" @default.
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