Regularity of random attractors for stochastic semilinear degenerate parabolic equations

We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity satisfies an arbitrary polynomial growth condition...

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Bibliographic Details
Main Authors: Cung The Anh, Tang Quoc Bao, Nguyen Van Thanh
Format: Article
Language:English
Published: Texas State University 2012-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/207/abstr.html