Nonuniqueness for the Heat Flow¶of Harmonic Maps on the Disk
- 210 Downloads
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.
KeywordsInitial Data Heat Flow Large Time Suitable Initial Data
Unable to display preview. Download preview PDF.