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arXiv · 2108.08347

Distributional solutions to mean curvature flow

Tim Laux
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Abstract

These lecture notes aim to present some of the ideas behind the recent (conditional) existence and (weak-strong) uniqueness theory for mean curvature flow. Focusing on the simplest case of the evolution of a single closed hypersurface allows for a self-contained and concise presentation, which is accessible for beginning graduate students with some background in PDEs and only requires basic measure theory.

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Tim Laux. 2021-08-18. Distributional solutions to mean curvature flow. https://arxiv.org/abs/2108.08347

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