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arXiv · 1909.09627

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

Karthik Adimurthi·Agnid Banerjee·Ram Baran Verma
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Abstract

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

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Karthik Adimurthi, Agnid Banerjee, Ram Baran Verma. 2019-09-24. Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary. https://arxiv.org/abs/1909.09627

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