Strichartz and smoothing estimates for dispersive equations with magnetic potentials
Piero D'Ancona, Luca Fanelli
Abstract
We prove global smoothing and Strichartz estimates for the Schroedinger, 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.
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