Scattering for the Radial Schrodinger Equation with Combined Power-type and Choquard-type Nonlinearities

In this paper, we show the scattering of the radial solution for the nonlinear Schrodinger equation with combined power-type and Choquard-type nonlinearities iu(t) + Delta u = lambda(1)vertical bar u vertical bar(p1-1)u + lambda(2)(I-alpha * vertical bar u vertical bar(p2))vertical bar u vertical bar(p2-2)u. in the energy space H-1 (R-N) for lambda(1)lambda(2) = - 1. We establish a scattering criterion for radial solution together with Morawetz estimate which implies the scattering theory. Results show that the defocusing perturbation terms does not determine the scattering solution in energy space.