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Epsilon-regularity for the Brakke flow with boundary (2206.08830v2)
Published 17 Jun 2022 in math.AP and math.DG
Abstract: We prove that, if a Brakke flow with boundary is close enough to a stationary half-plane with density one, then it is $C{1,\alpha}$. Our approach is based on viscosity techniques introduced by Savin in the context of elliptic equations. The same techniques can be used to give a proof of Brakke's (interior) regularity theorem which is alternative to the original one.
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