English

Harnack Inequalities and Applications for Stochastic Differential Equations Driven by Fractional Brownian Motion

Probability 2012-02-17 v1

Abstract

In the paper, Harnack inequalities are established for stochastic differential equations driven by fractional Brownian motion with Hurst parameter H<1/2H<1/2. As applications, strong Feller property, log-Harnack inequality and entropy-cost inequality are given.

Keywords

Cite

@article{arxiv.1202.3627,
  title  = {Harnack Inequalities and Applications for Stochastic Differential Equations Driven by Fractional Brownian Motion},
  author = {Xi-Liang Fan},
  journal= {arXiv preprint arXiv:1202.3627},
  year   = {2012}
}