Geodesic
Short time existence of the classical solution to the fractional mean curvature flow
Annales de l'I.H.P. Analyse non linéaire, Tome 37 (2020) no. 4, pp. 983-1016

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We establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and C1,1-regular. We provide the same result also for the volume preserving fractional mean curvature flow.

DOI : 10.1016/j.anihpc.2020.02.007
Keywords: Fractional mean curvature flow, Short time existence, Classical solution, Fractional perimeter 
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     author = {Julin, Vesa and La Manna, Domenico Angelo},
     title = {Short time existence of the classical solution to the fractional mean curvature flow},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {983--1016},
     publisher = {Elsevier},
     volume = {37},
     number = {4},
     year = {2020},
     doi = {10.1016/j.anihpc.2020.02.007},
     mrnumber = {4104832},
     zbl = {1501.53096},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2020.02.007/}
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Julin, Vesa; La Manna, Domenico Angelo. Short time existence of the classical solution to the fractional mean curvature flow. Annales de l'I.H.P. Analyse non linéaire, Tome 37 (2020) no. 4, pp. 983-1016. doi: 10.1016/j.anihpc.2020.02.007

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