Virial identity and dispersive estimates for the $n$-dimensional Dirac equation

Federico Cacciafesta

Virial identity and dispersive estimates for the $n$-dimensional Dirac equation

Analysis of PDEs 2011-05-18 v2

Authors: Federico Cacciafesta

Abstract

We extend to general dimension $n\ge1$ the virial identity proved by Boussaid-D'Ancona-Fanelli for the 3D magnetic Dirac equation. As an application we deduce smoothing and Strichartz estimates for an $n$ -dimensional Dirac equation perturbed with a magnetic potential.

Keywords

Dirac equation virial identity dispersive estimates smoothing estimates Strichartz estimates magnetic potential

Cite

@article{arxiv.1103.0189,
  title  = {Virial identity and dispersive estimates for the $n$-dimensional Dirac equation},
  author = {Federico Cacciafesta},
  journal= {arXiv preprint arXiv:1103.0189},
  year   = {2011}
}

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