Virial Identity and Weak Dispersion for the Magnetic Dirac Equation

@inproceedings{Boussaid2009VirialIA,
  title={Virial Identity and Weak Dispersion for the Magnetic Dirac Equation},
  author={Nabile Boussaid and PIERO D’ANCONA and L. Fanelli},
  year={2009}
}
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view. We also prove a Hardy-type inequality for the perturbed Dirac operator.