Optimal systems and invariant solutions for the curve shortening problem

被引：20
作者：
Chou, KS [1 ]
Li, GX [1 ]
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2002年 / 10卷 / 02期
关键词：
D O I：
10.4310/CAG.2002.v10.n2.a1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The symmetry group of the generalized curve shortening problem is determined and a corresponding optimal system is found. Group invariant solutions for the optimal system are discussed.
引用
收藏
页码：241 / 274
页数：34
相关论文
共 27 条
[21]  
LI GX, 1997, THESIS CHINESE U HON
[22]   SINGULARITIES AND SELF-INTERSECTIONS OF CURVES EVOLVING ON SURFACES [J].
OAKS, JA .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1994, 43 (03) :959-981
[23]  
Olver P J, 1993, APPL LIE GROUPS DIFF
[24]  
Ovsiannikov L. V. E., 1982, Group analysis of differential equations
[25]   CONTINUOUS SUBGROUPS OF FUNDAMENTAL GROUPS OF PHYSICS .1. GENERAL METHOD AND POINCARE GROUP [J].
PATERA, J ;
WINTERNITZ, P ;
ZASSENHAUS, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (08) :1597-1614
[26]   ON INVARIANT CURVE EVOLUTION AND IMAGE-ANALYSIS [J].
SAPIRO, G ;
TANNENBAUM, A .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1993, 42 (03) :985-1009
[27]   ON AFFINE PLANE CURVE EVOLUTION [J].
SAPIRO, G ;
TANNENBAUM, A .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 119 (01) :79-120
123