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

被引:13
|
作者
Wang, Jingyu [1 ]
Wang, Yejuan [1 ]
机构
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
基金
中国国家自然科学基金;
关键词
RANDOM DYNAMICAL-SYSTEMS; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC-BEHAVIOR; EXISTENCE;
D O I
10.1063/1.4817862
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. (C) 2013 AIP Publishing LLC.
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页数:25
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