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.

Sources & referencesView supporting material

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).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.