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arxiv: 1805.08464 · v1 · pith:6JMG5VNDnew · submitted 2018-05-22 · 🧮 math.AP

Estimates in the modulation spaces for the Dirac equation with potential

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keywords diracequationestimatesmodulationobtainspacesapproximatelyderive
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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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