Energy Critical NLS in two space dimensions

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dc.creatorColliander, Jim
dc.creatorIbrahim, Slim
dc.creatorMajdoub, Mohamed
dc.creatorMasmoudi, Nader
dc.date2008-06-18
dc.date.accessioned2026-07-07T09:45:21Z
dc.date.available2026-07-07T09:45:21Z
dc.descriptionWe investigate the initial value problem for a defocusing nonlinear Schrödingerequation with exponential nonlinearity. We identify subcritical, critical and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.
dc.description27 pages, submitted
dc.identifierhttps://arxiv.org/abs/0806.2979
dc.identifierhttp://arxiv.org/abs/0806.2979
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163166
dc.subjectAnalysis of PDEs
dc.subject35-xx, 35Q55, 35B60, 35B33, 37K07
dc.titleEnergy Critical NLS in two space dimensions
dc.typetext

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