Existence and upper semicontinuity of random attractors for stochastic \(p\)-Laplacian equations on unbounded domains
Electronic journal of differential equations, Tome 2014 (2014)
The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. 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.
Classification :
37L30, 35B40, 35B41, 35K55, 35K57, 35Q80
Keywords: stochastic p-Laplacian equations, multiplicative noise, random dynamical system, random attractor, upper semicontinuity
Keywords: stochastic p-Laplacian equations, multiplicative noise, random dynamical system, random attractor, upper semicontinuity
@article{EJDE_2014__2014__a45,
author = {Li, Jia and Li, Yangrong and Cui, Hongyong},
title = {Existence and upper semicontinuity of random attractors for stochastic {\(p\)-Laplacian} equations on unbounded domains},
journal = {Electronic journal of differential equations},
year = {2014},
volume = {2014},
zbl = {1417.37268},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a45/}
}
TY - JOUR AU - Li, Jia AU - Li, Yangrong AU - Cui, Hongyong TI - Existence and upper semicontinuity of random attractors for stochastic \(p\)-Laplacian equations on unbounded domains JO - Electronic journal of differential equations PY - 2014 VL - 2014 UR - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a45/ LA - en ID - EJDE_2014__2014__a45 ER -
%0 Journal Article %A Li, Jia %A Li, Yangrong %A Cui, Hongyong %T Existence and upper semicontinuity of random attractors for stochastic \(p\)-Laplacian equations on unbounded domains %J Electronic journal of differential equations %D 2014 %V 2014 %U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a45/ %G en %F EJDE_2014__2014__a45
Li, Jia; Li, Yangrong; Cui, Hongyong. Existence and upper semicontinuity of random attractors for stochastic \(p\)-Laplacian equations on unbounded domains. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a45/