We prove global smoothing and Strichartz estimates for the Schrodinger, wave, Klein-Gordon equations and for the massless and massive Dirac systems, perturbed with singular electromagnetic potentials. We impose a smallness condition on the magnetic part, while the electric part can be large. The decay and regularity assumptions on the coefficients are close to critical.
Strichartz and smoothing estimates for dispersive equations with magnetic potentials / D'Ancona, Piero Antonio; Fanelli, Luca. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 33:6(2008), pp. 1082-1112. [10.1080/03605300701743749]
Strichartz and smoothing estimates for dispersive equations with magnetic potentials
D'ANCONA, Piero Antonio;FANELLI, Luca
2008
Abstract
We prove global smoothing and Strichartz estimates for the Schrodinger, wave, Klein-Gordon equations and for the massless and massive Dirac systems, perturbed with singular electromagnetic potentials. We impose a smallness condition on the magnetic part, while the electric part can be large. The decay and regularity assumptions on the coefficients are close to critical.File allegati a questo prodotto
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