Long Range Scattering and Modified Wave Operators for some Hartree Type Equations II
Analysis of PDEs
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
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}. For 0 < gamma < or =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,thereby extending the results of a previous paper with the same title (math.AP/9807031) which covered the range 1/2 < gamma <1.
Cite
@article{arxiv.math/9903073,
title = {Long Range Scattering and Modified Wave Operators for some Hartree Type Equations II},
author = {J. Ginibre and G. Velo},
journal= {arXiv preprint arXiv:math/9903073},
year = {2009}
}
Comments
TeX, 55 pages, available http://qcd.th.u-psud.fr