LIFESPAN THEOREM AND GAP LEMMA FOR THE GLOBALLY CONSTRAINED WILLMORE FLOW

被引：1
|
作者：
Liu, Yannan [1 ]
Cao, Linfen [2 ]
机构：
[1] Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2014年 / 13卷 / 02期
关键词：
Geometric evolution equations; fourth order; Willmore flow; MEAN-CURVATURE FLOW; GRADIENT FLOW;
D O I：
10.3934/cpaa.2014.13.715
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a fourth-order flow, which can be seen as a globally constrained Willmore flow. We obtain a lower bound on the lifespan of the smooth solution, which depends on the concentration of curvature for the initial surface and the constrained term. We also give a gap lemma for this flow, which is an important lemma in the study of the blowup analysis.
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页码：715 / 728
页数：14
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