Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary

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Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary

Year : 2020

Publisher : Elsevier Ltd

Source Title : Nonlinear Analysis, Theory, Methods and Applications

Document Type :

Abstract

In this paper, we prove H2+α regularity for viscosity solutions to non-convex fully nonlinear parabolic equations near the boundary. This constitutes the parabolic counterpart of a similar C2,α regularity result due to Silvestre and Sirakov proved in [17] for solutions to non-convex fully nonlinear elliptic equations.