Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schr"odinger and Hartree equations

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dc.creatorGinibre, J.
dc.creatorVelo, G.
dc.date2008-07-02
dc.date2008-10-01
dc.date.accessioned2026-07-07T10:06:18Z
dc.date.available2026-07-07T10:06:18Z
dc.descriptionRecently several authors have developed multilinear and in particular quadratic extensions of the classical Morawetz inequality. Those extensions provide (among other results) an easy proof of asymptotic completeness in the energy space for nonlinear Schr"odinger equations in arbitrary space dimension and for Hartree equations in space dimension greater than two in the noncritical cases. We give a pedagogical review of the latter results.
dc.descriptionlatex 22 pages. For a Conference in honour of Walter Strauss. Minor corrections, references added
dc.identifierhttps://arxiv.org/abs/0807.0367
dc.identifierhttp://arxiv.org/abs/0807.0367
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170282
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35P25 (Primary) 35B40, 35Q40, 35Q55 (Secondary)
dc.titleQuadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schr"odinger and Hartree equations
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