Representation Formula for Viscosity Solution to a PDE Problem involving Pucci's Extremal Operator
Marco Pozza
Published: 2020/7/13
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.