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Existence of maximizers for Sobolev–Strichartz inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2012Embargo end date: 01 Jan 2011 Italy Publisher:Elsevier BVJournal:Advances in Mathematics, volume 229, pages 1,912-1,923 (issn: 0001-8708,

Authors: FANELLI L; VEGA L; VISCIGLIA, NICOLA;

doi: 10.1016/j.aim.2011.12.012 , 10.48550/arxiv.1103.4751

arXiv: http://arxiv.org/abs/1103.4751

handle: 11573/432969 , 11568/158300

Existence of maximizers for Sobolev–Strichartz inequalities

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Abstract

We prove the existence of maximizers of Sobolev-Strichartz estimates for a general class of propagators, involving relevant examples, as for instance the wave, Dirac and the hyperbolic Schrodinger flows.

10 pages

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Italy

Related Organizations

University of Pisa
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Università degli studi di Salerno
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Sapienza University of Rome
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University of the Basque Country
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UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA
Spain

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Keywords

Strichartz estimates, Mathematics(all), Mathematics - Analysis of PDEs, Fourier restriction theorems, FOS: Mathematics, fourier restriction theorems; strichartz estimates, 35J10, 35L05, Analysis of PDEs (math.AP)

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