Global well-posedness for the fifth order Kadomtsev–Petviashvili II equation in three dimensional space

The Cauchy problem for the fifth order Kadomtsev–Petviashvili II equation ∂x(∂tu−∂x5u+∂x(u2))+△yzu=0 is considered. A small data global well-posedness and scattering result in the scale and Galilean invariant space Ḣ−12,0,0(R3) is derived.