arXiv:math/0702362 Abstract

arXiv:math/0702362 [math.AP]Abstract References Reviews Resources

Strichartz and smoothing estimates for dispersive equations with magnetic potentials

Published 2007-02-13Version 1

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.

Comments: 23 pages

Categories: math.AP, math-ph, math.MP, math.SP

Subjects: 35L05, 58J45

Keywords: dispersive equations, smoothing estimates, singular electromagnetic potentials, klein-gordon equations, regularity assumptions

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