Estimates in the modulation spaces for the Dirac equation with potential

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.

References in corpus (2)

• Generalized Metaplectic Operators and the Schrödinger Equation with a Potential in the Sjöstrand Class
• High-energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and applications