Magnetic virial identities, weak dispersion and Strichartz inequalities
Analysis of PDEs
2016-03-24 v2 Mathematical Physics
math.MP
Abstract
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 , 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.
Keywords
Cite
@article{arxiv.0806.0778,
title = {Magnetic virial identities, weak dispersion and Strichartz inequalities},
author = {Luca Fanelli and Luis Vega},
journal= {arXiv preprint arXiv:0806.0778},
year = {2016}
}
Comments
23 pages, misprint in the title of the previous version