Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem
arXiv:1608.06730
Abstract
We study global well-posedness for the Kadomtsev-Petviashvili II equation in three space dimensions with small initial data. The crucial points are new bilinear estimates and the definition of the function spaces. As by-product we obtain that all solutions to small initial data scatter.
33 pages, 1 figure, final version