Reverse bubbling of currents and harmonic heat flows with prescribed singular set

被引：5
|
作者：
Pisante, A [1 ]
机构：
[1] Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 19卷 / 04期
关键词：
D O I：
10.1007/s00526-003-0213-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the harmonic heat flow for maps u between B-3, the unit ball of R-3, and its boundary S-2. For a class of possibly singular initial and boundary data we show the existence of a weak solution whose singular set is a fixed discrete set on the vertical axis arbitrarily prescribed. Other examples including isolated singularities moving along a prescribed trajectory are given.
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页码：337 / 378
页数：42
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