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dc.contributor.authorCarles, Remi
dc.contributor.authorDumas, Eric
dc.contributor.authorSparber, Christof
dc.date.accessioned2013-11-26T22:00:11Z
dc.date.available2013-11-26T22:00:11Z
dc.date.issued2012-06
dc.identifier.bibliographicCitationCarles R, Dumas E, Sparber C. Geometric optics and instability for NLS and Davey-Stewartson models. Journal of the European Mathematical Society. 2012;14(6):1885-1921. DOI: 10.4171/JEMS/350en_US
dc.identifier.issn1435-9855
dc.identifier.urihttp://hdl.handle.net/10027/10689
dc.descriptionPost print version of article may differ from published version. The definitive version is available through European Mathematical Society at DOI:10.4171/JEMS/350en_US
dc.description.abstractWe study the interaction of (slowly modulated) high frequency waves for multi-dimensional nonlinear Schr odinger equations with gauge invariant power-law nonlinearities and nonlocal perturbations. The model includes the Davey{Stewartson system in its elliptic-elliptic and hyperbolic-elliptic variant. Our analysis reveals a new localization phenomenon for nonlocal perturbations in the high frequency regime and allows us to infer strong instability results on the Cauchy problem in negative order Sobolev spaces, where we prove norm in ation with in nite loss of regularity by a constructive approach.en_US
dc.description.sponsorshipThis work was supported by the French ANR project R.A.S. (ANR-08-JCJC-0124-01) and by the Royal Society Research fellowship of C. Sparberen_US
dc.language.isoen_USen_US
dc.publisherEuropean Mathematical Societyen_US
dc.titleGeometric Optics and Instability for NLS and Davey-Stewartson Modelsen_US
dc.typeArticleen_US


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