Magnetic virial identities, weak dispersion and Strichartz inequalities

Details Magnetic virial identities, weak dispersion and Strichartz inequalities Magnetic virial identities, weak dispersion and Strichartz inequalities

2008-06-04

arxiv.org/abs/0806.0778v2

Mathematics

Analysis of PDEs

23 pages, misprint in the title of the previous version

Scientific paper

We show a family of virial-type identities for the Schr\"odinger 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.

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