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Strichartz and smoothing estimates for dispersive equations with magnetic potentials

Piero D'Ancona·Luca Fanelli
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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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Piero D'Ancona, Luca Fanelli. 2007-02-13. Strichartz and smoothing estimates for dispersive equations with magnetic potentials. https://arxiv.org/abs/math/0702362

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