Asymptotic mean value formulas for parabolic nonlinear equations
@article{Blanc2022AsymptoticMV, title={Asymptotic mean value formulas for parabolic nonlinear equations}, author={Pablo Blanc and Fernando Charro and Juan J. Manfredi and Julio D. Rossi}, journal={Revista de la Uni{\'o}n Matem{\'a}tica Argentina}, year={2022} }
In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge-Ampère equations) by asymptotic mean value formulas. Our asymptotic mean value formulas can be interpreted from a probabilistic point of view in terms of Dynamic Programming Principles for certain two-player, zero-sum games.
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