Endpoint estimates and global existence for the nonlinear Dirac equation with potential
Analysis of PDEs
2019-07-25 v1 Mathematical Physics
math.MP
Abstract
We prove endpoint estimates with angular regularity for the wave and Dirac equations perturbed with a small potential. The estimates are applied to prove global existence for the cubic Dirac equation perturbed with a small potential, for small initial data with additional angular regularity. This implies in particular global existence in the critical energy space for small radial data.
Cite
@article{arxiv.1103.4014,
title = {Endpoint estimates and global existence for the nonlinear Dirac equation with potential},
author = {Federico Cacciafesta and Piero D'Ancona},
journal= {arXiv preprint arXiv:1103.4014},
year = {2019}
}