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In this paper, we prove $\mathcal{H}^{2+\alpha}$ regularity for viscositysolutions to non-convex fully nonlinear parabolic equations near the boundary.This constitutes the parabolic counterpart of a similar $C^{2, \alpha}$regularity result due to Silvestre and Sirakov proved in [15] for solutions tonon-convex fully nonlinear elliptic equations.

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