MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1310-1318.

MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE

郑永爱^1,2, 刘祖汉¹

1. Department of Mathematics, Yangzhou University, Yangzhou 225006, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China

收稿日期:2000-11-01 修回日期:2002-06-09 出版日期:2002-11-18 发布日期:2002-11-18
基金资助:
the National Natural Science Foundation of China(10071067)

MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE

ZHENG Yong-ai^1,2, LIU Zu-han¹

1. Department of Mathematics, Yangzhou University, Yangzhou 225006, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China

Received:2000-11-01 Revised:2002-06-09 Online:2002-11-18 Published:2002-11-18
Supported by:
the National Natural Science Foundation of China(10071067)

摘要/Abstract

摘要： Short time existence and uniqueness for the classical motion are studied by the function of the principal curvatures of a smooth surface and the Evans and Spruck’s results are generalized.

关键词: level set, mean curvature, signed distance function, principal curvature

Abstract: Short time existence and uniqueness for the classical motion are studied by the function of the principal curvatures of a smooth surface and the Evans and Spruck’s results are generalized.

Key words: level set, mean curvature, signed distance function, principal curvature

中图分类号:

O186

郑永爱;刘祖汉. MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1310-1318.

ZHENG Yong-ai;LIU Zu-han. MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1310-1318.

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MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE

MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE

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