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arXiv:1906.10990 [math.AP]AbstractReferencesReviewsResources

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

Vesa Julin, Domenico La Manna

Published 2019-06-26Version 1

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.

Categories: math.AP, math.DG
Subjects: 53C44, 35R11
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