@article{ijpdea2016422,
author={Wang, Gang},
title={Random Exponential Attractor and Equilibrium for a Stochastic Reaction-diffusion Equation with Multiplicative Noise},
journal={International Journal of Partial Differential Equations and Applications},
volume={4},
number={2},
pages={25--31},
year={2016},
url={http://pubs.sciepub.com/ijpdea/4/2/2},
issn={2376-9556},
abstract={In this paper, we present a result on existence of exponential attractors for abstract random dynamical systems, and then give a criterion for exponentially attractive property of random attractors. As an application, we first prove that the random dynamical system generated by a stochastic reaction-diffusion equation possesses a random exponential attractor. Then we show that the unique random equilibrium when the nonlinearity satisfies some restrictive condition is exactly an exponential attractor.},
doi={10.12691/ijpdea-4-2-2}
publisher={Science and Education Publishing}
}