中文

带线性乘性分数噪声的局部单调随机偏微分方程的随机吸引子

概率论 2023-11-30 v1

摘要

本文考虑了一类由Hurst指数H(12,1)H\in(\frac{1}{2},1)的线性乘性分数布朗运动扰动的局部单调随机偏微分方程的随机吸引子。我们得到了这些系统的随机吸引子或D\mathcal{D}-拉回随机吸引子,并给出了若干例子。

关键词

引用

@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}
}