Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We consider the mean curvature flow of the graph of a smooth map f: R2→ R2 between two-dimensional Euclidean spaces. If f satisfies an area-decreasing property, the solution exists for all times and the evolving submanifold stays the graph of an area-decreasing map ft. Further, we prove uniform decay estimates for the mean curvature vector of the graph and all higher-order derivatives of the corresponding map ft.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Geometric Analysis |
Vol/bind | 28 |
Udgave nummer | 4 |
Sider (fra-til) | 3928-3949 |
Antal sider | 22 |
ISSN | 1050-6926 |
DOI | |
Status | Udgivet - 15 dec. 2018 |
Eksternt udgivet | Ja |
ID: 233725579