Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space

Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
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DOI:
10.1016/j.jde.2005.08.005
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发表时间:
2006-11
影响因子:
2.4
通讯作者:
H. Jian
H. Jian
中科院分区:
数学2区
文献类型:
--
作者:
H. Jian

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本文研究了Minkowski空间中平均曲率流的旋转对称平移孤子的存在性、唯一性和渐近性。我们还研究了这类流的一般孤子的渐近行为和严格凸性。
In this paper, we study the existence, uniqueness and asymptotic behavior of rotationally symmetric translating solitons of the mean curvature flow in Minkowski space. We also study the asymptotic behavior and the strict convexity of general solitons of such flows.