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arXiv · 1805.08464

Estimates in the modulation spaces for the Dirac equation with potential

Keiichi Kato·Ivan Naumkin
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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.

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Keiichi Kato, Ivan Naumkin. 2018-05-22. Estimates in the modulation spaces for the Dirac equation with potential. https://arxiv.org/abs/1805.08464

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