J un 2 00 8 MAGNETIC VIRIAL IDENTITIES , WEAK DISPERSION AND STRICHARTZ INEQUALITIES
نویسندگان
چکیده
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 the wave equation with a non-trapping electromagnetic potential with almost Coulomb decay.
منابع مشابه
un 2 00 8 MAGNETIC VIRIAL IDENTITIES , WEAK DISPERSION AND STRICHARTZ INEQUALITIES
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 the wave equation with a non-trapping electromagnetic potential with almost Coulomb decay.
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