Strichartz and smoothing estimates for dispersive equations with magnetic potentials

Details Strichartz and smoothing estimates for dispersive equations with magnetic potentials Strichartz and smoothing estimates for dispersive equations with magnetic potentials

2007-02-13

arxiv.org/abs/math/0702362v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

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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