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.
Citation
Igor Rodnianski. Yanir Rubinstein. Gigliola Staffilani. "On the global well-posedness of the one-dimensional Schrödinger map flow." Anal. PDE 2 (2) 187 - 209, 2009. https://doi.org/10.2140/apde.2009.2.187
Information
