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.
Short time existence of the classical solution to the fractional mean curvature flow / Julin, V.; La Manna, D. A.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 37:4(2020), pp. 983-1016. [10.1016/j.anihpc.2020.02.007]
Short time existence of the classical solution to the fractional mean curvature flow
Julin V.;La Manna D. A.
2020
Abstract
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.File in questo prodotto:
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