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Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries (2208.01194v1)
Published 2 Aug 2022 in math.AP
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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