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

2019/06/26 by Julin, Vesa, La Manna, Domenico
#35R11 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.10990

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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