English

A dispersive estimate for the linear wave equation with an electromagnetic potential

Analysis of PDEs 2007-05-23 v1

Abstract

We consider radial solutions to the Cauchy problem for the linear wave equation with a small short-range electromagnetic potential (the "square version" of the massless Dirac equation with a potential) and zero initial data. We prove two a priori estimates that imply, in particular, a dispersive estimate.

Keywords

Cite

@article{arxiv.math/0601030,
  title  = {A dispersive estimate for the linear wave equation with an electromagnetic potential},
  author = {Davide Catania},
  journal= {arXiv preprint arXiv:math/0601030},
  year   = {2007}
}

Comments

8 pages, no figures