Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation

Lassaad Aloui, Slim Tayachi

In this paper we consider the inhomogeneous nonlinear Schrödinger equation $i{\partial }_{t}u+\Delta u=K(x)|u{|}^{\alpha }u,u(0)=u_0\in H^s({\mathbb{R}}^N),s=0,1,$ $N\ge 1,$ $|K(x)|+|x|^s|\na…