Existence and upper semicontinuity of (L2;Lq) pullback attractors for a stochastic p-laplacian equation

Linfang Liu; Xianlong Fu

doi:10.3934/cpaa.2017023

Existence and upper semicontinuity of (L²;L^q) pullback attractors for a stochastic p-laplacian equation

Linfang Liu
, Xianlong Fu^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper we study the dynamical behavior of solutions for a non-autonomous p-Laplacian equation driven by a white noise term. We first establish the abstract results on existence and continuity of bi-spatial pull-back random attractors for a cocycle. Then by conducting some tail estimates and applying the obtained abstract results we show the existence and upper semi-continuity of (L2(Rn);Lq(Rn))-pullback attractors for this p-Laplacian equation.

Original language	English
Pages (from-to)	443-473
Number of pages	31
Journal	Communications on Pure and Applied Analysis
Volume	16
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2017023
State	Published - Mar 2017

Keywords

Bi-spatial pullback attractor
Omega-compactness
Stochastic p-Laplacian equation
Upper semi-continuity

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abstract = "In this paper we study the dynamical behavior of solutions for a non-autonomous p-Laplacian equation driven by a white noise term. We first establish the abstract results on existence and continuity of bi-spatial pull-back random attractors for a cocycle. Then by conducting some tail estimates and applying the obtained abstract results we show the existence and upper semi-continuity of (L2(Rn);Lq(Rn))-pullback attractors for this p-Laplacian equation.",

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N2 - In this paper we study the dynamical behavior of solutions for a non-autonomous p-Laplacian equation driven by a white noise term. We first establish the abstract results on existence and continuity of bi-spatial pull-back random attractors for a cocycle. Then by conducting some tail estimates and applying the obtained abstract results we show the existence and upper semi-continuity of (L2(Rn);Lq(Rn))-pullback attractors for this p-Laplacian equation.

AB - In this paper we study the dynamical behavior of solutions for a non-autonomous p-Laplacian equation driven by a white noise term. We first establish the abstract results on existence and continuity of bi-spatial pull-back random attractors for a cocycle. Then by conducting some tail estimates and applying the obtained abstract results we show the existence and upper semi-continuity of (L2(Rn);Lq(Rn))-pullback attractors for this p-Laplacian equation.

KW - Bi-spatial pullback attractor

KW - Omega-compactness

KW - Stochastic p-Laplacian equation

KW - Upper semi-continuity

UR - https://www.scopus.com/pages/publications/85009488944

U2 - 10.3934/cpaa.2017023

DO - 10.3934/cpaa.2017023

M3 - 文章

AN - SCOPUS:85009488944

SN - 1534-0392

VL - 16

SP - 443

EP - 473

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 2

ER -

Existence and upper semicontinuity of (L²;L^q) pullback attractors for a stochastic p-laplacian equation

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Keywords

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