Ding's global well-posedness conjecture for the one-dimensional Schrödinger map flow
Ding's global well-posedness conjecture for the one-dimensional Schrödinger map flow
A Schrödinger map is a time-dependent map from a one-dimensional domain into a compact Kähler manifold evolving according to the Schrödinger map flow. Ding's conjecture. The Schrödinger map flow is globally well-posed for maps from one-dimensional domains into compact Kähler manifolds. This conjecture seeks global existence and uniqueness beyond the previously known special classes of Kähler targets; the source does not state a resolution.
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Primary source
Igor Rodnianski, Yanir A. Rubinstein and Gigliola Staffilani, “On the global well-posedness of the one-dimensional Schrodinger map flow”, arXiv:0811.0848 (2008).
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