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

Abstract

In this paper we prove that the defocusing, mass - critical generalized KdV initial value problem is globally well-posed and scattering for $u_0\in L^2(\mathbf{R})$. We prove this via a concentration compactness argument.

30 pages. arXiv admin note: text overlap with arXiv:0907.5412 by other authors