Abstract
We establish the global well-posedness of the initial value problem for the Schrödinger map flow for maps from the real line into Kähler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.
Original language | English (US) |
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Pages (from-to) | 187-209 |
Number of pages | 23 |
Journal | Analysis and PDE |
Volume | 2 |
Issue number | 2 |
DOIs | |
State | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Applied Mathematics
Keywords
- Cubic nls
- Kähler manifolds
- Periodic nls
- Schrödinger flow
- Strichartz estimates