Long Range Scattering and Modified Wave Operators for some Hartree Type Equations
Ginibre, J. ; Velo, G.
arXiv, 9807031 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-07-07
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35P25 (Primary) 35B40, 35Q40, 81U99 (Secondary) 
@article{9807031,
     author = {Ginibre, J. and Velo, G.},
     title = {Long Range Scattering and Modified Wave Operators for some Hartree Type
  Equations},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807031}
}

Ginibre, J.; Velo, G. Long Range Scattering and Modified Wave Operators for some Hartree Type
  Equations. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807031/