Properties of translating solutions  to mean curvatureflow

Changfeng Gui; Huaiyu Jian; Hongjie Ju

doi:10.3934/dcds.2010.28.441

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2010, Volume 28, Issue 2: 441-453. Doi: 10.3934/dcds.2010.28.441 open access

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Properties of translating solutions to mean curvature flow

1.
School of Mathematics, Hunan University, Changsha 410082
2.
Department of Mathematical Sciences, Tsinghua University, Beijing 100084

Received: August 31, 2009

Revised: February 28, 2010

Published: June 2010

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Abstract

In this paper, we study the convexity, interior gradient estimate,Liouville type theorem and asymptotic behavior at infinity oftranslating solutions to mean curvature flow as well as thenonlinear flow by powers of the mean curvature.

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Mathematics Subject Classification: Primary: 35J60; Secondary: 52C44.

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