Title
Dynamics for a stochastic degenerate parabolic equation
Abstract
In this paper we consider the long-time behavior of a class of stochastic degenerate parabolic equations involving an operator which is X-elliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,X2,…,Xm˜}. The nonlinearity satisfies a dissipative condition with polynomial growth of arbitrary order p≥2. The existence of the random attractor in L2(O), higher-order integrability and continuity in H are established.
Year
DOI
Venue
2019
10.1016/j.camwa.2018.12.023
Computers & Mathematics with Applications
Keywords
Field
DocType
Degenerate operator,Random attractor,Higher integrability,Regular attraction
Attractor,Parabolic partial differential equation,Degenerate energy levels,Nonlinear system,Polynomial,Mathematical analysis,Dissipative system,Lipschitz continuity,Mathematics,Parabola
Journal
Volume
Issue
ISSN
77
9
0898-1221
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Qingquan Chang100.34
Dandan Li2277.99
Chunyou Sun394.29