English

Density analysis of BSDEs

Probability 2015-01-27 v2

Abstract

In this paper, we study the existence of densities (with respect to the Lebesgue measure) for marginal laws of the solution (Y,Z)(Y,Z) to a quadratic growth BSDE. Using the (by now) well-established connection between these equations and their associated semi-linear PDEs, together with the Nourdin-Viens formula, we provide estimates on these densities.

Cite

@article{arxiv.1402.4416,
  title  = {Density analysis of BSDEs},
  author = {Thibaut Mastrolia and Dylan Possamaï and Anthony Réveillac},
  journal= {arXiv preprint arXiv:1402.4416},
  year   = {2015}
}
R2 v1 2026-06-22T03:10:45.495Z