We show a family of virial-type identities for the Schrödinger 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 thewave equation with a non-trapping electromagnetic potential with almost Coulomb decay.
Magnetic virial identities, weak dispersion and Strichartz estimates / Fanelli, Luca; L., Vega. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - STAMPA. - 2:344(2009), pp. 249-278. [10.1007/s00208-008-0303-7]
Magnetic virial identities, weak dispersion and Strichartz estimates
FANELLI, Luca;
2009
Abstract
We show a family of virial-type identities for the Schrödinger 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 thewave equation with a non-trapping electromagnetic potential with almost Coulomb decay.File allegati a questo prodotto
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