Non-generic blow-up solutions for the critical focusing NLS in 1-d

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dc.creatorKrieger, Joachim
dc.creatorSchlag, Wilhelm
dc.date2005-08-29
dc.date.accessioned2026-07-07T05:22:46Z
dc.date.available2026-07-07T05:22:46Z
dc.descriptionThis paper addresses the existence of codimension one stable manifolds for the pseudo-conformal blow-up solution for critical one-dimensional NLS. By the work of Perelman and Merle, Raphael, the blow-up rate of these solutions is far from the generic one. However, Bourgain,Wang and Perelman formulated the possibility of codimension one stable manifolds for the non-generic blow-up solutions. This paper established the existence of such manifolds, albeit only in the measurable category.
dc.identifierhttps://arxiv.org/abs/math/0508576
dc.identifierhttp://arxiv.org/abs/math/0508576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76188
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q55, 37K40
dc.titleNon-generic blow-up solutions for the critical focusing NLS in 1-d
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