Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schrödinger equation

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dc.creatorShao, Shuanglin
dc.date2008-08-31
dc.date2008-10-12
dc.date.accessioned2026-07-07T10:08:54Z
dc.date.available2026-07-07T10:08:54Z
dc.descriptionIn this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrödinger equation in all dimensions based on the recent linear profile decomposition results. We then present a new proof of the linear profile decomposition for the Schröindger equation with initial data in the homogeneous Sobolev space; as a consequence, there exists a maximizer for the Sobolev-Strichartz inequality.
dc.description14 pages; Various corrections, references updated
dc.identifierhttps://arxiv.org/abs/0809.0153
dc.identifierhttp://arxiv.org/abs/0809.0153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171161
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleMaximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schrödinger equation
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