# Mean Convex Mean Curvature Flow with Free Boundary

@article{Edelen2019MeanCM, title={Mean Convex Mean Curvature Flow with Free Boundary}, author={Nick Edelen and Robert Haslhofer and Mohammad N. Ivaki and Jonathan J. Zhu}, journal={arXiv: Differential Geometry}, year={2019} }

In this paper, we generalize White's regularity and structure theory for mean-convex mean curvature flow to the setting with free boundary. A major new challenge in the free boundary setting is to derive an a priori bound for the ratio between the norm of the second fundamental form and the mean curvature. We establish such a bound via the maximum principle for a triple-approximation scheme, which combines ideas from Edelen, Haslhofer-Hershkovits, and Volkmann. Other important new ingredients… Expand

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