A revision of "On asymptotic stability in energy space of ground states of NLS in 1D"

dc.creatorCuccagna, Scipio
dc.date2007-11-27
dc.date2008-09-15
dc.date.accessioned2026-07-07T10:02:25Z
dc.date.available2026-07-07T10:02:25Z
dc.descriptionWe transpose work by T.Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger equation (NLS) in 1D. As an application we extend to dimension 1D a result on asymptotic stability of ground states of NLS proved by Cuccagna & Mizumachi for dimensions $\ge 3$
dc.descriptionThis is a revision of the author's paper "On asymptotic stability in energy space of ground states of NLS in 1D" which appeared in J.Diff.Equations 245 (2008) pp 653-691. We correct an error in Lemma 5.4 in that paper and we simplify the smoothing argument
dc.identifierhttps://arxiv.org/abs/0711.4192
dc.identifierhttp://arxiv.org/abs/0711.4192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168966
dc.subjectAnalysis of PDEs
dc.titleA revision of "On asymptotic stability in energy space of ground states of NLS in 1D"
dc.typetext

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