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arXiv:2311.17658 [math.PR]AbstractReferencesReviewsResources

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

Qiyong Cao, Hongjun Gao

Published 2023-11-29Version 1

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 $H\in(\frac{1}{2},1)$. We obtain the random attractors or $\mathcal{D}$-pullback random attractors for these systems and some examples are given in this paper.

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