Potential Analysis

, Volume 38, Issue 2, pp 573–587

Density Estimates for Solutions to One Dimensional Backward SDE’s


DOI: 10.1007/s11118-012-9287-8

Cite this article as:
Aboura, O. & Bourguin, S. Potential Anal (2013) 38: 573. doi:10.1007/s11118-012-9287-8


In this paper, we derive sufficient conditions for each component of the solution to a general backward stochastic differential equation to have a density for which upper and lower Gaussian estimates can be obtained.


Backward stochastic differential equations Malliavin calculus Density estimates 

Mathematics Subject Classifications (2010)

60H10 60H07 

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.SAMM, EA 4543Université Paris 1 Panthéon SorbonneParis CedexFrance
  2. 2.Faculté des Sciences, de la Technologie et de la CommunicationUR en MathématiquesLuxembourgLuxembourg

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