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arXiv · 1705.08789

Equality of the usual definitions of Brakke flow

Ananda Lahiri
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Abstract

In 1978 Brakke introduced the mean curvature flow in the setting of geometric measure theory. There exist multiple variants of the original definition. Here we prove that most of them are indeed equal. One central point is to correct the proof of Brakke's \S 3.5, where he develops an estimate for the evolution of the measure of time-dependent test functions.

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Ananda Lahiri. 2017-05-24. Equality of the usual definitions of Brakke flow. https://arxiv.org/abs/1705.08789

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