Short time existence of the classical solution to the fractional Mean curvature flow

Published 26 Jun 2019 in math.AP and math.DG | (1906.10990v2)

Abstract: We establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and C^{{1,1}-regular.} We provide the same result also for the volume preserving fractional mean curvature flow.

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