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.

引用

页码：337 / 378

页数：42

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