Global well-posedness and scattering for the defocusing, mass critical generalized KdV problem

Global well-posedness and scattering for the defocusing, mass critical generalized KdV problem

-
Benjamin Dodson , Johns Hopkins University
Fine Hall 314

The mass - critical gKdV has many features in common with the mass critical NLS problem. In particular, we show that scattering for the quintic problem implies a concentration compactness result for the gKdV problem. We then define an interaction Morawetz estimate that implies scattering.