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

Qiyong Cao; Hongjun Gao

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arXiv · 2311.17658

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

Qiyong Cao·Hongjun Gao

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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 $H\in(\frac{1}{2},1)$. 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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Qiyong Cao, Hongjun Gao. 2023-11-29. Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise. https://arxiv.org/abs/2311.17658

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