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Magnetic virial identities, weak dispersion and Strichartz inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Dec 2008Embargo end date: 01 Jan 2008Publisher:Springer Science and Business Media LLCJournal:Mathematische Annalen, volume 344, pages 249-278 (issn: 0025-5831, eissn: 1432-1807,

Authors: Luis Vega; Luca Fanelli;

doi: 10.1007/s00208-008-0303-7 , 10.48550/arxiv.0806.0778

arXiv: http://arxiv.org/abs/0806.0778

Magnetic virial identities, weak dispersion and Strichartz inequalities

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Abstract

We show a family of virial-type identities for the Schr��dinger and wave equations with electromagnetic potentials. As a consequence, some weak dispersive inequalities in space dimension $n\geq3$, involving Morawetz and smoothing estimates, are proved; finally, we apply them to prove Strichartz inequalities for the wave equation with a non-trapping electromagnetic potential with almost Coulomb decay.

23 pages, misprint in the title of the previous version

Related Organizations

University of the Basque Country
Spain

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, FOS: Physical sciences, 35J10, 35L05, 58J45, Mathematical Physics (math-ph), Mathematical Physics, Analysis of PDEs (math.AP)

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