Abstract
We examine the question of uniqueness for the equivariant reduction of the harmonic map heat flow in the energy supercritical dimension d ≥ 3. It is shown that, generically, singular data can give rise to two distinct solutions that are both stable and satisfy the local energy inequality. We also discuss how uniqueness can be retrieved.
Original language | English (US) |
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Pages (from-to) | 2247-2299 |
Number of pages | 53 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 70 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2017 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics