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- W4309493856 abstract "We introduce invariant sample measures to nonautonomous random dynamical systems, and consider the dynamical behaviors of a nonautonomous stochastic $ p $-Laplacian equation with multiplicative noise on a bounded domain. We first use the asymptotic a priori estimate method to prove the existence of $ (L^2, L^q) $-pullback random attractors for the generated nonautonomous random dynamical system. Then, we establish the existence of invariant sample measures and random Liouville type theorem in $ L^2 $ for this equation. Moreover, the invariant sample measures are carried by $ W_0^{1, p}cap L^q $." @default.
- W4309493856 created "2022-11-28" @default.
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- W4309493856 date "2023-01-01" @default.
- W4309493856 modified "2023-09-30" @default.
- W4309493856 title "Invariant sample measures and random Liouville type theorem for a nonautonomous stochastic <inline-formula><tex-math id=M1>$ p $</tex-math></inline-formula>-Laplacian equation" @default.
- W4309493856 doi "https://doi.org/10.3934/dcdsb.2022193" @default.
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