Nonuniqueness for the Heat Flow¶of Harmonic Maps on the Disk

被引：0

作者：

Michiel Bertsch Dal Passo

Roberta van der Hout

Rein undefined

机构：

[1] Department of Mathematics¶University of Tor Vergata¶Via della Ricerca Scientifica¶00133 Roma,

[2] Italy¶e-mail: bertsch@mat.uniroma2.it¶e-mail: dalpasso@mat.uniroma2.it,undefined

[3] Akzo Nobel Chemicals Research¶Arnhem,undefined

[4] The Netherlands¶and Mathematical Institute¶University of Leiden¶Leiden,undefined

[5] The Netherlands¶e-mail: rein.vanderhout@akzonobel.com,undefined

来源：

Archive for Rational Mechanics and Analysis | 2002年 / 161卷

关键词：

Initial Data; Heat Flow; Large Time; Suitable Initial Data;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：93 / 112

页数：19