English

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

Probability 2007-05-23 v1 Analysis of PDEs

Abstract

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.

Keywords

Cite

@article{arxiv.math/0509295,
  title  = {Second order backward stochastic differential equations and fully non-linear parabolic PDEs},
  author = {Patrick Cheridito and H. Mete Soner and Nizar Touzi and Nicolas Victoir},
  journal= {arXiv preprint arXiv:math/0509295},
  year   = {2007}
}

Comments

26 pages

R2 v1 2026-07-22T17:24:29.149Z