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

DOI10.1016/J.ANIHPC.2020.02.007zbMath1501.53096arXiv1906.10990OpenAlexW3019541237WikidataQ109406403 ScholiaQ109406403MaRDI QIDQ2188114

Vesa Julin, Domenico Angelo La Manna

Publication date: 3 June 2020

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10990

zbMATH Keywords

classical solutionshort-time existencefractional perimeterfractional mean curvature flow

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Flows related to mean curvature (53E10)

Related Items (10)

\(K\)-mean convex and \(K\)-outward minimizing sets ⋮ Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ Convex sets evolving by volume-preserving fractional mean curvature flows ⋮ Local Hölder regularity of minimizers for nonlocal variational problems ⋮ Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto ⋮ Asymptotic of the discrete volume-preserving fractional mean curvature flow via a nonlocal quantitative Alexandrov theorem ⋮ Stability of the ball under volume preserving fractional mean curvature flow ⋮ A fractional Michael-Simon Sobolev inequality on convex hypersurfaces ⋮ Fractional mean curvature flow of Lipschitz graphs ⋮ Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows

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