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arXiv · 1409.7327

Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions

Gwenael Mercier·Matteo Novaga
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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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Gwenael Mercier, Matteo Novaga. 2014-09-25. Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions. https://arxiv.org/abs/1409.7327

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