Long Range Scattering for the Modified Schr"odinger Map in two space dimensions

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dc.creatorGinibre, J.
dc.creatorVelo, G.
dc.date2006-11-14
dc.date2007-04-04
dc.date.accessioned2026-07-07T07:54:58Z
dc.date.available2026-07-07T07:54:58Z
dc.descriptionWe study the asymptotic behaviour in time of solutions and the theory of scattering for the modified Schr"odinger map in two space dimensions. We solve the Cauchy problem with large finite initial time, up to infinity in time, and we determine the asymptotic behaviour in time of the solutions thereby obtained. As a byproduct, we obtain global existence for small data in H^k inter FH^k with k > 1. We also solve the Cauchy problem with infinite initial time, namely we construct solutions defined in a neighborhood of infinity in time, with prescribed asymptotic behaviour of the previous type.
dc.descriptionlatex 54 pages. Expanded introduction and bibliography
dc.identifierhttps://arxiv.org/abs/math/0611435
dc.identifierhttp://arxiv.org/abs/math/0611435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126817
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectPrimary 35P25, Secondary 35B40, 35Q60
dc.titleLong Range Scattering for the Modified Schr"odinger Map in two space dimensions
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