English

Differentiability of backward stochastic differential equations in Hilbert spaces with monotone generators

Probability 2008-04-10 v1

Abstract

The aim of the present paper is to study the regularity properties of the solution of a backward stochastic differential equation with a monotone generator in infinite dimension. We show some applications to the nonlinear Kolmogorov equation and to stochastic optimal control.

Keywords

Cite

@article{arxiv.math/0603428,
  title  = {Differentiability of backward stochastic differential equations in Hilbert spaces with monotone generators},
  author = {Philippe Briand and Fulvia Confortola},
  journal= {arXiv preprint arXiv:math/0603428},
  year   = {2008}
}