Almost graphical hypersurfaces become graphical under mean curvature flow
From MaRDI portal
Publication:1688588
DOI10.4310/CAG.2017.V25.N3.A4zbMATH Open1380.53073arXiv1505.00543MaRDI QIDQ1688588
Author name not available (Why is that?)
Publication date: 9 January 2018
Published in: (Search for Journal in Brave)
Abstract: Consider a mean curvature flow of hypersurfaces in Euclidean space, that is initially graphical inside a cylinder. There exists a period of time during which the flow is graphical inside the cylinder of half the radius. Here we prove a lower bound on this period depending on the Lipschitz-constant of the initial graphical representation. This is used to deal with a mean curvature flow that lies inside a slab and is initially graphical inside a cylinder except for a small set. We show that such a flow will become graphical inside the cylinder of half the radius. The proofs are mainly based on White's regularity theorem.
Full work available at URL: https://arxiv.org/abs/1505.00543
No records found.
No records found.
This page was built for publication: Almost graphical hypersurfaces become graphical under mean curvature flow
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1688588)
