1998/07/07 by J. Ginibre, G. Velo, Ginibre, J. +1
Mathematics · Physics and Astronomy · #35P25 (Primary) 35B40 #35Q40 #81U99 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35B40 #msc:35P25 #msc:35Q40 #msc:81U99
paper · pdf · doi:10.48550/arxiv.math/9807031
TeX, 89 pages, available http://qcd.th.u-psud.fr
arxiv created 1998/07/07 · arxiv updated 2009/11/30
We study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n > 2, including Hartree equations with potential V(x) = lambda |x|- gamma with gamma < 1. For 1/2 < gamma < 1 we prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.