A-priori bounds for the 1-d cubic NLS in negative Sobolev spaces

dc.creatorKoch, Herbert
dc.creatorTataru, Daniel
dc.date2006-12-22
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:10Z
dc.date.available2026-07-07T08:03:10Z
dc.descriptionWe consider the cubic Nonlinear Schrodinger Equation in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time H^s bounds in terms of the H^s size of the initial data for s greater than or equal to -1/6.
dc.description27 pages very minor misprints corrected (see formulas (4), (7))
dc.identifierhttps://arxiv.org/abs/math/0612717
dc.identifierhttp://arxiv.org/abs/math/0612717
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129478
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleA-priori bounds for the 1-d cubic NLS in negative Sobolev spaces
dc.typetext

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