Asymptotic behavior and stability of mean curvature flow with a conical end

被引:2
作者
Guo, Siao-Hao [1 ]
机构
[1] Indiana Univ, Dept Math, Rawles Hall,831 East 3rd St, Bloomington, IN 47405 USA
关键词
Mean curvature flow; Asymptotically conical; Asymptotic behavior; Expander; Stability; CLOSED HYPERSURFACES; ENTROPY;
D O I
10.1016/j.aim.2020.107408
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
If the initial hypersurface of an immortal mean curvature flow is asymptotic to a regular cone whose entropy is small, the flow will become asymptotically self-expanding. Moreover, the expander that gives rise to the limiting flow is asymptotically stable as an equilibrium solution of the normalized mean curvature flow. (C) 2020 Elsevier Inc. All rights reserved.
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页数:63
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