Nonuniqueness for the heat flow of harmonic maps on the disk

被引：46
|
作者：
Bertsch, M
Dal Passo, R
Van der Hout, R
机构：
[1] Univ Roma Tor Vergata, Dept Math, I-00133 Rome, Italy
[2] Leiden Univ, Math Inst, Leiden, Netherlands
[3] Akzo Nobel Chem Res, Arnhem, Netherlands
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2002年 / 161卷 / 02期
关键词：
D O I：
10.1007/s002050100171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for suitable initial data the heat flow of harmonic maps, from the disk to the sphere, admits infinitely many solutions, characterised by "backward bubbling" at some arbitrarily large time, all having uniformly bounded energy.
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页码：93 / 112
页数：20
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