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Pullback attractors for reaction-diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms.

Authors :
Wang, Jingyu
Wang, Yejuan
Source :
Journal of Mathematical Physics. Aug2013, Vol. 54 Issue 8, p082703. 25p.
Publication Year :
2013

Abstract

The existence of a pullback attractor in a space of higher regularity is established for the non-autonomous non-compact dynamical system associated with the reaction-diffusion delay equation with both non-autonomous deterministic and stochastic forcing terms defined on all n-dimensional space. The asymptotical compactness of the solutions is demonstrated by using the uniform estimates for far-field values of solutions and a new method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00222488
Volume :
54
Issue :
8
Database :
Academic Search Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
90048318
Full Text :
https://doi.org/10.1063/1.4817862