Evolution of Spacelike Hypersurfaces by Mean Curvature Minus External Force Field in Minkowski Space

被引：2
|
作者：
Liu, Yannan [1 ]
Jian, Huaiyu [2 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ADVANCED NONLINEAR STUDIES | 2009年 / 9卷 / 03期
关键词：
Parabolic equation; Spacelike hypersurface; Mean curvature flow; Maximum principle (for tensor); FLOW; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the evolution of spacelike hypersurface moving by mean curvature minus an external force field in Minkowski space. It is shown that the flow will exist, for all time if the initial spacelike surface has two compact spacelike barrier surfaces and the external force field satisfies a weak convexity condition.
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页码：513 / 522
页数：10
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