Wong-Zakai approximation for the dynamics of stochastic evolution equation driven by rough path with Hurst index H∈((1)/(3),(1)/(2)]

2022/11/27 by Cao, Qiyong, Gao, Hongjun
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2211.14757

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∈((1)/(3),(1)/(2)] and establish the upper semi-continuity of random attractors A_η for the approximated systems of the evolution equations.

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