Analyticity of the scattering operator for semilinear dispersive equations

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dc.creatorCarles, Rémi
dc.creatorGallagher, Isabelle
dc.date2008-01-24
dc.date.accessioned2026-07-07T12:40:46Z
dc.date.available2026-07-07T12:40:46Z
dc.descriptionWe present a general algorithm to show that a scattering operator associated to a semilinear dispersive equation is real analytic, and to compute the coefficients of its Taylor series at any point. We illustrate this method in the case of the Schrodinger equation with power-like nonlinearity or with Hartree type nonlinearity, and in the case of the wave and Klein-Gordon equations with power nonlinearity. Finally, we discuss the link of this approach with inverse scattering, and with complete integrability.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0801.3774
dc.identifierhttp://arxiv.org/abs/0801.3774
dc.identifierCommunications in Mathematical Physics 286, 3 (2009) 1181-1209
dc.identifierdoi:10.1007/s00220-008-0599-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219547
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleAnalyticity of the scattering operator for semilinear dispersive equations
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