Non-Markovian Fully Coupled Forward-Backward Stochastic Systems and Classical Solutions of Path-dependent PDEs
Probability
2012-04-17 v1 Analysis of PDEs
Abstract
This paper explores the relationship between non-Markovian fully coupled forward-backward stochastic systems and path-dependent PDEs. The definition of classical solution for the path-dependent PDE is given within the framework of functional It\^{o} calculus. Under mild hypotheses, we prove that the forward-backward stochastic system provides the unique classical solution to the path-dependent PDE.
Keywords
Cite
@article{arxiv.1204.3351,
title = {Non-Markovian Fully Coupled Forward-Backward Stochastic Systems and Classical Solutions of Path-dependent PDEs},
author = {Shaolin Ji and Shuzhen Yang},
journal= {arXiv preprint arXiv:1204.3351},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1108.4317