RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS

Zhaojuan Wang; Shengfan Zhou

doi:10.11948/2015031

2015 Volume 5 Issue 3

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Zhaojuan Wang, Shengfan Zhou. RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 363-387. doi: 10.11948/2015031

Citation:

Zhaojuan Wang, Shengfan Zhou. RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 363-387. doi: 10.11948/2015031

RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS

Zhaojuan Wang¹,
Shengfan Zhou²

1 School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China;
2 Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Fund Project:

Abstract

Abstract

In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains. First we introduce a continuous cocycle for the equation and then investigate the existence and uniqueness of tempered random attractors which pullback attract all tempered random sets.
- Stochastic strongly damped wave equation /
- unbounded domains /
- random attractor
MSC: 37L55;60H15;35B40;35B41

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