Stability of mean convex cones under mean curvature flow
type: Item
instance of: scholarly article
title: Stability of mean convex cones under mean curvature flow
zbMATH Open document ID: 1216.53058
author: Julie Clutterbuck
author: Oliver C. Schnurer
published in: Mathematische Zeitschrift
publication date: 2011-04-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/0811.0259
review text: The authors consider graphical solutions to the mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature. They prove that, if a solution is initially close to the cone near infinity, then this solution will converge uniformly to the homothetically expanding solution in \(C^j\) for any \(j\in\mathbb{N}\) as time increases to infinity. The proof is based on the construction of appropriate barrier functions.
reviewed by: Shu-Yu Hsu
Mathematics Subject Classification ID: 53C44
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 5876174
zbMATH Keywords: mean curvature flow
zbMATH Keywords: cone
zbMATH Keywords: stability
MaRDI profile type: Publication
OpenAlex ID: W2147908022
arXiv ID: 0811.0259
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DOI: 10.1007/S00209-009-0634-4
description: scientific article