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

نویسندگان

چکیده

In this paper, we investigate the approximations of stochastic \begin{document}$ p $\end{document}-Laplacian equation with additive white noise by a family piecewise deterministic partial differential equations driven stationary process. We firstly obtain tempered pullback attractors for random id="M4">\begin{document}$ general diffusion. secondly prove convergence solutions and upper semi-continuity Wong-Zakai approximation in Hilbert space case. Thirdly, truncation technique, uniform compactness attractor respect to quantity is derived id="M5">\begin{document}$ q $\end{document}-times integrable functions, where well established.

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ژورنال

عنوان ژورنال: Communications on Pure and Applied Analysis

سال: 2021

ISSN: ['1534-0392', '1553-5258']

DOI: https://doi.org/10.3934/cpaa.2020265