Dynamic of threshold solutions for energy-critical NLS

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dc.creatorDuyckaerts, Thomas
dc.creatorMerle, Frank
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:45Z
dc.date.available2026-07-07T08:39:45Z
dc.descriptionWe consider the radial energy-critical non-linear focusing Schrödinger equation in dimension N=3,4,5. An explicit stationnary solution, W, of this equation is known. In a previous work by C. Carlos and F. Merle, the energy E(W) has been shown to be a threshold for the dynamical behavior of solutions of the equation. In the present article, we study the dynamics at the critical level E(u)=E(W) and classify the corresponding solutions. This gives in particular a dynamical characterization of W.
dc.descriptionPreprint, to be published in GAFA
dc.identifierhttps://arxiv.org/abs/0710.5915
dc.identifierhttp://arxiv.org/abs/0710.5915
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141182
dc.subjectAnalysis of PDEs
dc.titleDynamic of threshold solutions for energy-critical NLS
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