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

By Igor Rodnianski, Yanir A. Rubinstein, Gigliola Staffilani. 2008

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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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d5c0eff90a26d0b1013c3f9a6029aca6700aa29f