Density analysis of BSDEs.

Citation
Mastrolia, Thibaut et al., Density analysis of BSDEs., Annals of probability (Online) , 44(4), 2016, pp. 2817-2857
ISSN journal
2168894X
Volume
44
Issue
4
Year of publication
2016
Pages
2817 - 2857
Database
ACNP
SICI code
Abstract
In this paper, we study the existence of densities (with respect to the Lebesgue measure) for marginal laws of the solution (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.