Global solutions for cubic quasilinear Schroedinger flows in two and
higher dimensions
Global solutions for cubic quasilinear Schroedinger flows in two and
higher dimensions
In recent work the authors proposed a broad global well-posedness conjecture for cubic defocusing dispersive equations in one space dimension, and then proved this conjecture in two cases, namely for one dimensional semilinear and quasilinear Schr\"odinger flows. Inspired by the circle of ideas developed in the proof of the above …