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

作者：Wang, Jingyu; Wang, Yejuan^*

来源：Journal of Mathematical Physics, 2013, 54(8): 082703.

DOI：10.1063/1.4817862

• RANDOM DYNAMICAL-SYSTEMS
• DIFFERENTIAL-EQUATIONS
• ASYMPTOTIC-BEHAVIOR
• EXISTENCE

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.

• 出版日期2013-8
• 单位兰州大学