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arXiv · 0806.0778

Magnetic virial identities, weak dispersion and Strichartz inequalities

Luca Fanelli·Luis Vega
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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 $n\geq3$, 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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Luca Fanelli, Luis Vega. 2008-06-04. Magnetic virial identities, weak dispersion and Strichartz inequalities. https://arxiv.org/abs/0806.0778

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