The Free Boundary Value Problem of α-Harmonic Maps Flow

被引：0
|
作者：
Ai, Wanjun [1 ]
Wang, Jun [2 ]
Zhu, Miaomiao [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, 2 Tiansheng RD, Chongqing 400715, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, 800 Dongchuan RD, Shanghai 200240, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2024年
基金：
中国国家自然科学基金;
关键词：
alpha-Harmonic map flow; Free boundary; Existence; HEAT-FLOW; EVOLUTION; MAPPINGS;
D O I：
10.1007/s40304-024-00399-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the alpha-harmonic map flow with free boundary for the Sacks-Uhlenbeck functional on a compact Riemann surface with smooth boundary and prove that thisflow exists globally for smooth initial data and converges to an alpha-harmonic map with free boundary as t ->infinity
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页数：17
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