Well-posedness of mean curvature flow

Yongheng Han

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arXiv · 2603.22809

Well-posedness of mean curvature flow

Yongheng Han

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Abstract

In this paper, using heat kernel estimates and contraction mapping principle, we give a new proof of the existence and uniqueness of mean curvature flow starting from hypersurface with bounded second fundamental form. Moreover, we show the continuous dependence of mean curvature flow on initial data.

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Yongheng Han. 2026-03-24. Well-posedness of mean curvature flow. https://arxiv.org/abs/2603.22809

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