Scattering Theory in the Energy Space for a Class of Hartree Equations
Ginibre, J. ; Velo, G.
arXiv, 9809183 / Harvested from arXiv
Text on arXiv
We study the theory of scattering in the energy space for the Hartree equation in space dimension n>2. Using the method of Morawetz and Strauss, we prove in particular asymptotic completeness for radial nonnegative nonincreasing potentials satisfying suitable regularity properties at the origin and suitable decay properties at infinity. The results cover in particular the case of the potential |x|^(- gamma) for 2 < gamma < Min(4,n).
Publié le : 1998-09-30
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35P25 (Primary) 35B40, 35Q40, 81U99 (Secondary) 
@article{9809183,
     author = {Ginibre, J. and Velo, G.},
     title = {Scattering Theory in the Energy Space for a Class of Hartree Equations},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809183}
}

Ginibre, J.; Velo, G. Scattering Theory in the Energy Space for a Class of Hartree Equations. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809183/