English

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

Probability 2023-11-30 v1

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

Keywords

Cite

@article{arxiv.2311.17658,
  title  = {Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise},
  author = {Qiyong Cao and Hongjun Gao},
  journal= {arXiv preprint arXiv:2311.17658},
  year   = {2023}
}