Long Range Scattering and Modified Wave Operators for some Hartree Type Equations

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dc.creatorGinibre, J.
dc.creatorVelo, G.
dc.date1998-07-07
dc.date.accessioned2026-07-07T05:25:18Z
dc.date.available2026-07-07T05:25:18Z
dc.descriptionWe study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n > 2, including Hartree equations with potential V(x) = lambda |x|^{- gamma} with gamma < 1. For 1/2 < gamma < 1 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.
dc.descriptionTeX, 89 pages, available http://qcd.th.u-psud.fr
dc.identifierhttps://arxiv.org/abs/math/9807031
dc.identifierhttp://arxiv.org/abs/math/9807031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77130
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35P25 (Primary) 35B40, 35Q40, 81U99 (Secondary)
dc.titleLong Range Scattering and Modified Wave Operators for some Hartree Type Equations
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