Translating solutions to   mean curvature flow with a forcing term  in Minkowski space

Hongjie Ju; Jian Lu; Huaiyu Jian

doi:10.3934/cpaa.2010.9.963

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2010, Volume 9, Issue 4: 963-973. Doi: 10.3934/cpaa.2010.9.963

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Translating solutions to mean curvature flow with a forcing term in Minkowski space

1.
Department of Mathematical Sciences, Tsinghua University, Beijing 100084

Received: June 30, 2009

Revised: November 30, 2009

Published: June 2010

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Abstract

We study the existence, uniqueness and asymptotic behavior of rotationally symmetric translating solutions to mean curvature flow with a forcing term in Minkowski space. As a result, a part of conjectures in [1] is proved.

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

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