Global well-posedness and scattering for small data for the 3-d KP-II   Cauchy problem
  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. 
Herbert Koch and Junfeng Li
math.AP