Existence and upper semicontinuity of attractors fornon-autonomous stochastic lattice systems  with random coupledcoefficients

Zhaojuan  Wang; Shengfan  Zhou

doi:10.3934/cpaa.2016035

Article Contents

2016, Volume 15, Issue 6: 2221-2245. Doi: 10.3934/cpaa.2016035

This issue Previous Article Low regularity solutions for the (2+1)-dimensional Maxwell-Klein-Gordon equations in temporal gauge Next Article Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions

Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients

Zhaojuan Wang^1, and
Shengfan Zhou^2,

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

Received: December 31, 2015

Revised: May 31, 2016

Published: October 2016

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Abstract

In this paper, we consider the existence of random attractors in a weighted space $ l_\rho ^2 $ for first-order non-autonomous stochastic lattice system with random coupled coefficients and multiplicative/additive white noise, and establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.

Keywords:

Non-autonomous stochastic lattice dynamical system,
random attractor,
random coupled coefficient.

Mathematics Subject Classification: Primary: 35B40, 35B41; Secondary: 37L55, 60H15.

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