Mean curvature flow of contractions between Euclidean spaces
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Article number | 104 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 55 |
Issue number | 4 |
ISSN | 0944-2669 |
DOIs | |
Publication status | Published - 1 Aug 2016 |
Externally published | Yes |
- 53A07, 53C42, Primary 53C44
Research areas
ID: 233725687