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arXiv:0712.1679 [math.AP]AbstractReferencesReviewsResources

Semiclassical Analysis for Hartree equation

Rémi Carles, Satoshi Masaki

Published 2007-12-11Version 1

We justify WKB analysis for Hartree equation in space dimension at least three, in a regime which is supercritical as far as semiclassical analysis is concerned. The main technical remark is that the nonlinear Hartree term can be considered as a semilinear perturbation. This is in contrast with the case of the nonlinear Schrodinger equation with a local nonlinearity, where quasilinear analysis is needed to treat the nonlinearity.

Comments: 16 pages
Categories: math.AP, math-ph, math.MP
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