  In this paper, we prove $\mathcal{H}^{2+\alpha}$ regularity for viscosity
solutions 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 to
non-convex fully nonlinear elliptic equations.
