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^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	443-473
页数	31
期刊	Communications on Pure and Applied Analysis
卷	16
期	2
DOI	https://doi.org/10.3934/cpaa.2017023
出版状态	已出版 - 3月 2017

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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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author = "Linfang Liu and Xianlong Fu",

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AU - Liu, Linfang

AU - Fu, Xianlong

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Y1 - 2017/3

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;Lq) pullback attractors for a stochastic p-laplacian equation

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