Mean curvature flow of contractions between Euclidean spaces
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We consider the mean curvature flow of the graphs of maps between Euclidean spaces of arbitrary dimension. If the initial map is Lipschitz and satisfies a length-decreasing condition, we show that the mean curvature flow has a smooth long-time solution for t> 0. Further, we prove uniform decay estimates for the mean curvature vector and for all higher-order derivatives of the defining map.
Originalsprog | Engelsk |
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Artikelnummer | 104 |
Tidsskrift | Calculus of Variations and Partial Differential Equations |
Vol/bind | 55 |
Udgave nummer | 4 |
ISSN | 0944-2669 |
DOI | |
Status | Udgivet - 1 aug. 2016 |
Eksternt udgivet | Ja |
ID: 233725687