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arxiv: 1204.3702 · v1 · pith:C6JPXWT5new · submitted 2012-04-17 · 🧮 math.PR · math.AP

Classical Solutions of Path-dependent PDEs and Functional Forward-Backward Stochastic Systems

classification 🧮 math.PR math.AP
keywords functionalforward-backwardpath-dependentstochasticpdessystemscalculusclassical
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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.

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