Wong-Zakai approximation for the dynamics of stochastic evolution equation driven by rough path with Hurst index H∈(13,12]

Abstract

In this paper, we obtain the existence of random attractors for a class of evolution equations driven by a geometric fractional Brownian rough path with Hurst index H∈(13,12] and establish the upper semi-continuity of random attractors Aη for the approximated systems of the evolution equations.

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