On the evolution by fractional mean curvature

Mariel Sáez; Enrico Valdinoci

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arXiv · 1511.06944

On the evolution by fractional mean curvature

Mariel Sáez·Enrico Valdinoci

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Abstract

In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a comparison principle and consequences such as uniqueness and finite extinction time for compact solutions. We also establish evolutions equations for fractional geometric quantities that yield preservation of certain quantities (such as positive fractional curvature) and smoothness of graphical evolutions.

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Mariel Sáez, Enrico Valdinoci. 2019-03-28. On the evolution by fractional mean curvature. https://arxiv.org/abs/1511.06944

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