Korean J. Math.  Vol 26, No 4 (2018)  pp.583-599
DOI: https://doi.org/10.11568/kjm.2018.26.4.583

Existence of random attractors for stochastic non-autonomous reaction-diffusion equation with multiplicative noise on $\mathbb{R}^{n}$

Fadlallah Mustafa Mosa, Qiaozhen Ma, Mohamed Y. A. Bakhet

Abstract


In this paper, we are concerned with the existence of random dynamics for stochastic non-autonomous reaction-diffusion equations driven by a Wiener-type multiplicative noise defined on the unbounded domains.

Keywords


Random attractors, Stochastic non-autonomous reaction-diffusion equation, Random dynamical system.

Subject classification

35B40, 35B41, 35B45.

Sponsor(s)

This work was partly supported by the NSFC (11561064) and partly supported by NWNU-LKQN-14-6.

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