Viscosity Solutions to Second Order Path-Dependent Hamilton-Jacobi-Bellman Equations

 In this talk, a notion of viscosity solutions is introduced for second order path-dependent Hamilton-Jacobi-Bellman (PHJB) equations associated with optimal control problems for path-dependent stochastic differential equations. We identify the value functional of optimal control problems as unique viscosity solution to the associated PHJB equations. 

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