Representation Formula for Viscosity Solution to a PDE Problem involving Pucci's Extremal Operator
Abstract
We provide a representation formula for viscosity solutions to an elliptic Dirichlet problem involving Pucci's extremal operators. This is done through a dynamic programming principle derived from Denis, Hu and Peng (2010). The formula can be seen as a nonlinear extension of the Feynman-Kac formula.
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