Scattering Theory in the Energy Space for a Class of Hartree Equations

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dc.creatorGinibre, J.
dc.creatorVelo, G.
dc.date1998-09-30
dc.date.accessioned2026-07-07T05:26:13Z
dc.date.available2026-07-07T05:26:13Z
dc.descriptionWe study the theory of scattering in the energy space for the Hartree equation in space dimension n>2. Using the method of Morawetz and Strauss, we prove in particular asymptotic completeness for radial nonnegative nonincreasing potentials satisfying suitable regularity properties at the origin and suitable decay properties at infinity. The results cover in particular the case of the potential |x|^(- gamma) for 2 < gamma < Min(4,n).
dc.descriptionTeX, 41 pages, available http://qcd.th.u-psud.fr
dc.identifierhttps://arxiv.org/abs/math/9809183
dc.identifierhttp://arxiv.org/abs/math/9809183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77471
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35P25 (Primary) 35B40, 35Q40, 81U99 (Secondary)
dc.titleScattering Theory in the Energy Space for a Class of Hartree Equations
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