On the global well-posedness of the one-dimensional Schrodinger map flow

Details On the global well-posedness of the one-dimensional Schrodinger map flow On the global well-posedness of the one-dimensional Schrodinger map flow

2008-11-06

arxiv.org/abs/0811.0848v2

Analysis and PDE 2 (2009), 187-209.

Mathematics

Differential Geometry

v2: Remark 1.5 added, some typos fixed

Scientific paper

We establish the global well-posedness of the initial value problem for the
Schrodinger map flow for maps from the real line into Kahler manifolds and for
maps from the circle into Riemann surfaces. This partially resolves a
conjecture of W.-Y. Ding.

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