A remark on soliton equation of mean curvature flow

A remark on soliton equation of mean curvature flow
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DOI:
10.1590/s0001-37652004000300001
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发表时间:
2003-12
影响因子:
1.3
通讯作者:
Li Ma;Yang Yang-Yang
Li Ma;Yang Yang-Yang
中科院分区:
综合性期刊4区
文献类型:
--
作者:
Li Ma;Yang Yang-Yang

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本文考虑平均曲率流的自相似浸入,证明了孤子方程的图解,只要它有界导数,光滑地收敛到一个具有某些特殊性质的函数(见定理1.1).
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).