Weak pullback mean random attractors for non-autonomous $ p $-Laplacian equations

Anhui Gu

doi:10.3934/dcdsb.2020266

Article Contents

2021, Volume 26, Issue 7: 3863-3878. Doi: 10.3934/dcdsb.2020266

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Weak pullback mean random attractors for non-autonomous $ p $-Laplacian equations

Anhui Gu

School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Received: April 2019

Revised: May 2020

Early access: September 2020

Published: July 2021

This work is partially supported by NSF of Chongqing Grant No. cstc2018jcyjA0897, the FRF for the Central Universities Grant No. XDJK2020B049 and K.C. Wong Education Foundation and DAAD.

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Abstract

In this paper, we obtain the existence and uniqueness of weak pullback mean random attractors for non-autonomous deterministic $ p $-Laplacian equations with random initial data and non-autonomous stochastic $ p $-Laplacian equations with general diffusion terms in Bochner spaces, respectively.

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Mathematics Subject Classification: Primary: 35B40; Secondary: 35B41, 37L30.

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