Nakanishi, K. Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. (English) Zbl 1040.35054 Ann. Henri Poincaré 3, No. 3, 503-535 (2002). 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. Reviewer: Ricardo Weder (México City) Cited in 1 ReviewCited in 9 Documents MSC: 35P25 Scattering theory for PDEs 35Q40 PDEs in connection with quantum mechanics 35B40 Asymptotic behavior of solutions to PDEs 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81U99 Quantum scattering theory Keywords:long-range scattering; Hartree equations Citations:Zbl 1013.35056 PDFBibTeX XMLCite \textit{K. Nakanishi}, Ann. Henri Poincaré 3, No. 3, 503--535 (2002; Zbl 1040.35054) Full Text: DOI