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arXiv · 2208.01194

Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries

Yuanyuan Lian·Kai Zhang
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Abstract

In this paper, we prove boundary pointwise $C^{k,\alpha}$ regularity for any $k\geq 1$ for fully nonlinear parabolic equations. As an application, we give a direct and short proof of the higher regularity of the free boundaries in obstacle-type problems.

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Yuanyuan Lian, Kai Zhang. 2022-08-02. Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries. https://arxiv.org/abs/2208.01194

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