Browsing by Author "Sáez, Mariel"
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- ItemOn the evolution by fractional mean curvature(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Sáez, Mariel; Valdinoci, EnricoIn 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.