Jia Li, Yangrong Li, Hongyong Cui
Abstract:
The existence of a pullback attractor is established for a stochastic
p-Laplacian equation on
. Furthermore, the limiting behavior of
random attractors of the random dynamical systems as stochastic perturbations
approach zero is studied and the upper semicontinuity is proved.
Submitted January 19, 2014. Published April 2, 2014.
Math Subject Classifications: 37L30, 35B40, 35B41, 35K55, 35K57, 35Q80.
Key Words: Stochastic p-Laplacian equations; multiplicative noise;
random dynamical system, random attractor; upper semicontinuity.
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Jia Li School of Mathematics and statistics, Southwest University Chongqing 400715, China email: bfreedom@swu.edu.cn | |
Yangrong Li School of Mathematics and statistics, Southwest University Chongqing 400715, China email: liyr@swu.edu.cn | |
Hongyong Cui School of Mathematics and statistics, Southwest University Chongqing 400715, China email: chy0321@126.com |
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