arXiv Analytics

Sign in

arXiv:math/0509295 [math.PR]AbstractReferencesReviewsResources

Second order backward stochastic differential equations and fully non-linear parabolic PDEs

Patrick Cheridito, H. Mete Soner, Nizar Touzi, Nicolas Victoir

Published 2005-09-14Version 1

We introduce a class of second order backward stochastic differential equations and show relations to fully non-linear parabolic PDEs. In particular, we provide a stochastic representation result for solutions of such PDEs and discuss Monte Carlo methods for their numerical treatment.

Related articles: Most relevant | Search more
arXiv:1201.1049 [math.PR] (Published 2012-01-03, updated 2014-04-11)
Second Order Backward Stochastic Differential Equations under Monotonicity Condition
arXiv:1201.1050 [math.PR] (Published 2012-01-03, updated 2014-04-11)
Second Order Backward Stochastic Differential Equations with Quadratic Growth
arXiv:1001.3802 [math.PR] (Published 2010-01-21, updated 2010-09-07)
Martingale Representation Theorem for the G-expectation