Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise

Abstract

In this paper, we consider the random attractors for a class of locally monotone stochastic partial differential equations perturbed by the linear multiplicative fractional Brownian motion with Hurst index H∈(12,1). We obtain the random attractors or D-pullback random attractors for these systems and some examples are given in this paper.

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