Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628007 | Applied Mathematics and Computation | 2014 | 17 Pages |
Abstract
We study the regularity of random attractors for a class of stochastic degenerate parabolic equations with the leading term involving a diffusion variable Ï which many be non-smooth or unbounded. Without any restrictions on the upper growth order p of the nonlinearity, except that p⩾2, we show that the associated random dynamical system admits a unique compact random attractor in the space D01,2(DN,Ï)â©LÏ(DN) for any Ïâ[2,2p-2], where DN is an arbitrary (bounded or unbounded) domain in RN,N⩾2.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wen-Qiang Zhao,