, Volume 161, Issue 2, pp 93-112

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

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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.

Accepted June 26, 2001¶Published online October 30, 2001