On the Malliavin differentiability of BSDEs

Abstract

In this paper we provide new conditions for the Malliavin differentiability of solutions of Lipschitz or quadratic BSDEs. Our results rely on the interpretation of the Malliavin derivative as a G{â}teaux derivative in the directions of the Cameron-Martin space. Incidentally, we provide a new formulation for the characterization of the Malliavin-Sobolev type spaces $D^{1,p}$ .

34 pages

References in corpus (3)

• Simulation of BSDEs by Wiener chaos expansion
• Density analysis of BSDEs
• A note on the Malliavin-Sobolev spaces

Cited by in corpus (1)

• A note on the Malliavin-Sobolev spaces