Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (2): 134-143.doi: 10.16088/j.issn.1001-6600.2020.02.016

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Existence of Uniform Random Attractor for NonautonomousStochastic Reaction-diffusion Equations on Unbounded Domains

ZHANG Jie, LI Xiaojun*   

  1. School of Science, Hehai University, Nanjing Jiangsu 210098, China
  • Received:2018-12-11 Published:2020-04-02

Abstract: This paper studies the existence of uniform attractors for a class of nonautonomous stochastic reaction-diffusion equations with white noise on unbounded domains. Firstly, with uniform estimation of the solutions, it is proved that the stochastic dynamical system corresponding to the original equation has a uniformly with respect to symbol space pullback absorbing set. Secondly, by asymptotic tail estimation, it is proved that the solution is uniformly pullback and asymptotically compact. The existence of uniform random attractor of the original system is obtained.

Key words: tochasticreaction-diffusionequation, uniformattractor, unboundeddomain, whitenoise

CLC Number: 

  • O175.29
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