PROPERTIES OF TRANSLATING SOLUTIONS TO MEAN CURVATURE FLOW

被引：17

作者：

Gui, Changfeng ^{[1
,2
,3
]}

Jian, Huaiyu ^{[4
]}

Ju, Hongjie ^{[4
]}

机构：

[1] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China

[2] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China

[3] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[4] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 28卷 / 02期

基金：

美国国家科学基金会;

关键词：

Elliptic equation; mean curvature flow; asymptotic behavior; convex solution; gradient estimate; SPACELIKE HYPERSURFACES; ELLIPTIC-EQUATIONS; CONVEX SURFACES; MINKOWSKI SPACE; SINGULARITIES; EVOLUTION; SOLITONS;

D O I：

10.3934/dcds.2010.28.441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：441 / 453

页数：13

共 22 条

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