Calculus of Variations and Geometric Measure Theory
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A. Cesaroni - M. Novaga

Fractional mean curvature flow of Lipschitz graphs

created by novaga on 21 Mar 2021
modified by cesaroni on 06 May 2021

[BibTeX]

Submitted Paper

Inserted: 21 mar 2021
Last Updated: 6 may 2021

Year: 2021

ArXiv: 2103.11346 PDF

Abstract:

We consider the fractional mean curvature flow of entire Lipschitz graphs. We provide regularity results, and we study the long time asymptotics of the flow. In particular we show that in a suitable rescaled framework, if the initial graph is a sublinear perturbation of a cone, the evolution asymptotically approaches an expanding self-similar solution. We also discuss some results in the unrescaled case.


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