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Estimates in the modulation spaces for the Dirac equation with potential

By Keiichi Kato and Ivan Naumkin

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

Topics: Mathematics - Analysis of PDEs, 35Q41, 35B45
Year: 2018
OAI identifier: oai:arXiv.org:1805.08464

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