The structure of translating surfaces with finite total curvature

被引：0
|
作者：
Khan, Ilyas [1 ]
机构：
[1] Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 03期
关键词：
Primary; 53E10; Secondary; 35J93; MEAN-CURVATURE; FLOW; SINGULARITIES; UNIQUENESS;
D O I：
10.1007/s00526-023-02441-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that any mean curvature flow translator sigma(2) subset of R-3 with finite total curvature and one end must be a plane. We also prove that if the translator sigma has multiple ends, they are asymptotic to a plane Pi containing the direction of translation and can be written as graphs over Pi. Finally, we determine that the ends of sigma are strongly asymptotic to Pi and obtain quantitative estimates for their asymptotic behavior.
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页数：28
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