Existence and upper semicontinuity of random attractors for stochastic $p$-Laplacian equations on unbounded domains
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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
@article{EJDE_2014__2014__a145,
     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},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a145/}
}
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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__a145/