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Archive for Rational Mechanics and Analysis

, Volume 161, Issue 2, pp 93–112 | Cite as

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

  • Michiel Bertsch 
  • Roberta Dal Passo
  • Rein van der Hout

Abstract

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.

Keywords

Initial Data Heat Flow Large Time Suitable Initial Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Michiel Bertsch 
    • 1
  • Roberta Dal Passo
    • 1
  • Rein van der Hout
    • 2
  1. 1.Department of Mathematics¶University of Tor Vergata¶Via della Ricerca Scientifica¶00133 Roma, Italy¶e-mail: bertsch@mat.uniroma2.it¶e-mail: dalpasso@mat.uniroma2.itIT
  2. 2.Akzo Nobel Chemicals Research¶Arnhem, The Netherlands¶and Mathematical Institute¶University of Leiden¶Leiden, The Netherlands¶e-mail: rein.vanderhout@akzonobel.comNL

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