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GRADIENT ESTIMATES AND EXISTENCE OF MEAN CURVATURE FLOW WITH TRANSPORT TERM
Title: | GRADIENT ESTIMATES AND EXISTENCE OF MEAN CURVATURE FLOW WITH TRANSPORT TERM |
Authors: | Takasao, Keisuke Browse this author |
Keywords: | mean curvature flow | gradient estimate |
Issue Date: | 7-Jun-2011 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 978 |
Start Page: | 1 |
End Page: | 9 |
Abstract: | In this paper we consider a hypersurface of the graph of the mean curvature flow with transport term. The existence of the mean curvature flow with transport term was proved by Liu, Sato and Tonegawa by using geometric measure theory techniques. We give a proof of the gradient estimates and the short time existence for the mean curvature flow with transport term by applying the backward heat kernel. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69785 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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