Strichartz and smoothing estimates for dispersive equations with magnetic potentials
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Spectral Theory
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.
Cite
@article{arxiv.math/0702362,
title = {Strichartz and smoothing estimates for dispersive equations with magnetic potentials},
author = {Piero D'Ancona and Luca Fanelli},
journal= {arXiv preprint arXiv:math/0702362},
year = {2007}
}
Comments
23 pages