Scattering for the inhomogeneous nonlinear Schrödinger equation with a potential

Abstract

In this paper, we show the scattering of the solution for the focusing inhomogenous nonlinear Schrödinger equation with a potentialin the energy space H 1 (R 3 ). We prove a scattering criterion, and then we use it together with Morawetz estimate to show the scattering theory.