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arXiv · 1503.01178

Unique asymptotics of ancient convex mean curvature flow solutions

Sigurd Angenent·Panagiota Daskalopoulos·Natasa Sesum
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Abstract

We study the compact noncollapsed ancient convex solutions to Mean Curvature Flow in $\mathbb{R}^{n+1}$ with $O(1)\times O(n)$ symmetry. We show they all have unique asymptotics as $t\to -\infty$ and we give precise asymptotic description of these solutions. In particular, solutions constructed by White, and Haslhofer and Hershkovits have those asymptotics (in the case of those particular solutions the asymptotics was predicted and formally computed by Angenent).

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Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum. 2015-03-04. Unique asymptotics of ancient convex mean curvature flow solutions. https://arxiv.org/abs/1503.01178

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