Published Paper

Inserted: 24 sep 2014
Last Updated: 2 jan 2018

Journal: Interfaces and Free Boundaries
Volume: 17
Number: 3
Pages: 399-426
Year: 2015

Abstract:

We show short time existence and uniqueness of $\C^{1,1}$ solutions to the mean curvature flow with obstacles, when the obstacles are of class $\C^{1,1}$. If the initial interface is a periodic graph we show long time existence of the evolution and convergence to a minimal constrained hypersurface.

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• mcf_obstacle_final.pdf