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Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions

Probability 2011-02-23 v1

Abstract

We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions. Such functional inequalities are obtained through new integration by parts formulas on the path space of a fractional Brownian motion.

Keywords

Cite

@article{arxiv.1102.4601,
  title  = {Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions},
  author = {Fabrice Baudoin and Cheng Ouyang},
  journal= {arXiv preprint arXiv:1102.4601},
  year   = {2011}
}

Comments

The paper is dedicated to Pr. David Nualart 60th's birthday