Article Dans Une Revue Asymptotic Analysis Année : 2008

Semiclassical Analysis for Hartree equation

Résumé

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.

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hal-00195618 , version 1 (11-12-2007)

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Rémi Carles, Satoshi Masaki. Semiclassical Analysis for Hartree equation. Asymptotic Analysis, 2008, 58 (4), pp.211-227. ⟨10.3233/ASY-2008-0882⟩. ⟨hal-00195618⟩
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