Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials

By Piero D'Ancona, Luca Fanelli. 2007

147 citations recorded by the source corpus.

We prove global smoothing and Strichartz estimates for the Schrödinger, 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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0c47317f497636b5388dd971e778fc57be88ce5c