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arxiv: 1402.4416 · v2 · pith:5GHJL67Jnew · submitted 2014-02-18 · 🧮 math.PR

Density analysis of BSDEs

classification 🧮 math.PR
keywords densitiesanalysisassociatedbsdebsdesconnectiondensityequations
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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.

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