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

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 [15] for solutions to non-convex fully nonlinear elliptic equations.

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