We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDE problem involving sublinear operators. This is done through a dynamic programming principle derived from [5]. The formula can be seen as a nonlinear extension of the Feynman--Kac formula and is based on the backward stochastic differential equations theory.
Representation Formula for Viscosity Solutions to a class of Nonlinear Parabolic PDEs
Viscosity Solutions of Path-dependent Integro-differential Equations
Viscosity solutions of Eikonal equations on topological networks
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