Modified wave operators for the Hartree equation with data, image and convergence in the same space. II
The author constructs the modified wave operators for Hartree equations with long-range interactions \(| x|^{-\nu}\). He extends his previous results [see Part I, Commun. Pure appl. Anal. 1, 237--252 (2002; Zbl 1013.35056)] to the whole range of the Dollard type \(1/2 < \nu < 1\). His results imply, in particular, asymptotic completeness for small data.
scientific article; zbMATH DE number 1966597