Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in $\R^{1+4}$

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dc.creatorRyckman, E.
dc.creatorVisan, M.
dc.date2005-01-26
dc.date2006-03-05
dc.date.accessioned2026-07-07T06:39:21Z
dc.date.available2026-07-07T06:39:21Z
dc.descriptionWe obtain global well-posedness, scattering, uniform regularity, and global $L^6_{t,x}$ spacetime bounds for energy-space solutions to the defocusing energy-critical nonlinear Schrödinger equation in $\R\times\R^4$. Our arguments closely follow those of Colliander-Keel-Staffilani-Takaoka-Tao, though our derivation of the frequency-localized interaction Morawetz estimate is somewhat simpler. As a consequence, our method yields a better bound on the $L^6_{t,x}$-norm.
dc.identifierhttps://arxiv.org/abs/math/0501462
dc.identifierhttp://arxiv.org/abs/math/0501462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101045
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleGlobal well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in $\R^{1+4}$
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