On the Cauchy problem for higher-order nonlinear dispersive equations

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dc.creatorPilod, Didier
dc.date2007-08-27
dc.date.accessioned2026-07-07T08:26:03Z
dc.date.available2026-07-07T08:26:03Z
dc.descriptionWe study a class of higher-order KdV equations. We show that the associated initial value problem is well posed in weighted Besov and Sobolev spaces for small initial data. We also prove ill-posedness results when in H^s(\R), for any real s.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0708.3676
dc.identifierhttp://arxiv.org/abs/0708.3676
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136816
dc.subjectAnalysis of PDEs
dc.subject35Q53
dc.titleOn the Cauchy problem for higher-order nonlinear dispersive equations
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