English

Global small solutions to the critical radial Dirac equation with potential

Analysis of PDEs 2011-05-24 v2

Abstract

We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm H1H^{1}. The main tool are new endpoint estimates of the perturbed Dirac flow for a class of radial-type initial data.

Keywords

Cite

@article{arxiv.1103.0186,
  title  = {Global small solutions to the critical radial Dirac equation with potential},
  author = {Federico Cacciafesta},
  journal= {arXiv preprint arXiv:1103.0186},
  year   = {2011}
}

Comments

Revised version, with corrections and updated bibliography