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GRADIENT ESTIMATES AND EXISTENCE OF MEAN CURVATURE FLOW WITH TRANSPORT TERM

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84125

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
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

Submitter: 数学紀要登録作業用

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