Classical Solutions of Path-dependent PDEs and Functional   Forward-Backward Stochastic Systems
  In this paper we study the relationship between functional forward-backward stochastic systems and path-dependent PDEs. In the framework of functional It\^o calculus, we introduce a path-dependent PDE and prove that its solution is uniquely determined by a functional forward-backward stochastic system. 
Shaolin Ji, Shuzhen Yang
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