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High-order Wong-Zakai approximations for non-autonomous stochastic \begin{document}$ p $\end{document}-Laplacian equations on \begin{document}$ \mathbb{R}^N $\end{document}

2020
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Communications on Pure and Applied Analysis
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In this paper, we investigate the approximations of stochastic p-Laplacian equation with additive white noise by a family of piecewise deterministic partial differential equations driven by a stationary stochastic process. We firstly obtain the tempered pullback attractors for the random p-Laplacian equation with a general diffusion. We secondly prove the convergence of solutions and the upper semi-continuity of pullback attractors of the Wong-Zakai approximation equations in a Hilbert space

doi:10.3934/cpaa.2020265
fatcat:nf6b5vhgzvgtppfldsjkouqzwy