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27 April 2024

» arxiv » 1910.7253

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Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball
Guofang Wang ; Chao Xia ;
Date:	16 Oct 2019
Abstract:	In this paper we introduce a Guan-Li type volume preserving mean curvature flow for free boundary hypersurfaces in a ball. We give a concept of star-shaped free boundary hypersurfaces in a ball and show that the Guan-Li type mean curvature flow has long time existence and converges to a free boundary spherical cap, provided the initial data is star-shaped.
Source:	arXiv, 1910.7253
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