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Zbl 1222.35042
Yang, Meihua; Kloeden, P.E.
Random attractors for stochastic semi-linear degenerate parabolic equations.
(English)
[J] Nonlinear Anal., Real World Appl. 12, No. 5, 2811-2821 (2011). ISSN 1468-1218

Summary: The existence of a random attractor is established for a class of stochastic semi-linear degenerate parabolic equations with the leading term of the form $\text{div}(\sigma (x)\nabla u)$ and additive spatially distributed temporal noise. The nonlinearity is dissipative for large values of the state without restriction on the growth order of the polynomial, while the spatial domain is either bounded or unbounded.
MSC 2000:
*35B41 Attractors
35L55 Higher order hyperbolic systems
35K58
35R60 PDE with randomness
35K65 Parabolic equations of degenerate type

Keywords: additive spatially distributed temporal noise

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