A remark on soliton equation of mean curvature flow

Anais da Academia Brasileira de Ciências

Li Ma¹  Yang Yang¹ 

[1] ,Tsinghua University Department of Mathematics Beijing,China

关键词: soliton;    Self-Similar;    Mean curvature flow;    Soliton;    Auto-similar;    Fluxo de curvatura média;   

DOI  :  10.1590/S0001-37652004000300001

来源: SciELO

【 摘 要 】

In this note, we consider self-similar immersions of the mean curvature flow and show that a graph solution of the soliton equation, provided it has bounded derivative, converges smoothly to a function which has some special properties (see Theorem 1.1).

【 授权许可】

CC BY   
 All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License