Magnetic virial identities, weak dispersion and Strichartz inequalities
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 n≥3, 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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