Estimates in the modulation spaces for the Dirac equation with potential
Analysis of PDEs
2018-05-23 v1
Abstract
In the present paper we obtain estimates in the modulation spaces for the solutions to the Dirac equation with quadratic and sub-quadratic potentials. We derive a representation for the Dirac operator that permits to solve approximately the perturbed Dirac equation and to obtain the desired estimates for the solution.
Keywords
Cite
@article{arxiv.1805.08464,
title = {Estimates in the modulation spaces for the Dirac equation with potential},
author = {Keiichi Kato and Ivan Naumkin},
journal= {arXiv preprint arXiv:1805.08464},
year = {2018}
}