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arXiv:2208.01194 [math.AP]AbstractReferencesReviewsResources

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

Yuanyuan Lian, Kai Zhang

Published 2022-08-02Version 1

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.

Categories: math.AP
Subjects: 35B65, 35K10, 35K55, 35R35
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