Long range scattering and modified wave operators for some Hartree type equations II

We study the theory of scattering for a class of Hartree type equations wit h long range interactions in space dimension n greater than or equal to 3, including Hartree equations with potential V(x) = lambda\x\(-gamma). For 0 < gamma less than or equal to 1 we prove the existence of modified wave ope rators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators, thereby extending the results of a previous paper which covered the range 1/2 < ga mma < 1.