Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 246, Issue 2, Pages 845-869Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2008.05.017
Keywords
Stochastic reaction-diffusion equation; Random attractor; Pullback attractor; Asymptotic compactness
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Funding
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0909400] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0908348] Funding Source: National Science Foundation
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The existence of a pullback attractor is established for a stochastic reaction-diffusion equation oil all n-dimensional space. The nonlinearity is dissipative for large values of the state and the stochastic nature of the equation appears as spatially distributed temporal white noise, The reaction-diffusion equation is recast as a random dynamical system and asymptotic compactness for this is demonstrated by using uniform a priori estimates for far-field values of solutions. (C) 2008 Elsevier Inc. All rights reserved.
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