We study the theory of scattering for the Hartree equation with long range potentials. 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.
@article{JEDP_1999____A17_0, author = {Ginibre, Jean and Velo, Giorgio}, title = {Long range scattering and modified wave operators for Hartree equations}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, year = {1999}, pages = {1-9}, mrnumber = {2000h:35130}, zbl = {01810590}, language = {en}, url = {http://dml.mathdoc.fr/item/JEDP_1999____A17_0} }
Ginibre, Jean; Velo, Giorgio. Long range scattering and modified wave operators for Hartree equations. Journées équations aux dérivées partielles, (1999), pp. 1-9. http://gdmltest.u-ga.fr/item/JEDP_1999____A17_0/
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