Accepted Paper

Inserted: 11 apr 2022
Last Updated: 28 jul 2022

Journal: Adv. Calc. Var.
Year: 2022

Abstract:

We consider the volume constrained fractional mean curvature flow of a nearly spherical set, and prove long time existence and asymptotic convergence to a ball. The result applies in particular to convex initial data, under the assumption of global existence. Similarly, we show exponential convergence to a constant for the fractional mean curvature flow of a periodic graph.

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