Semiclassical Analysis for Hartree equation

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dc.creatorCarles, Rémi
dc.creatorMasaki, Satoshi
dc.date2007-12-11
dc.date.accessioned2026-07-07T08:48:34Z
dc.date.available2026-07-07T08:48:34Z
dc.descriptionWe 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0712.1679
dc.identifierhttp://arxiv.org/abs/0712.1679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143989
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleSemiclassical Analysis for Hartree equation
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