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Low regularity solutions of the Maxwell-Dirac system

By P. D'Ancona, D. Foschi and S. Selberg


We discuss some recent results on the regularity properties of the Maxwell-Dirac system. Working in Lorenz gauge, we uncover the complete null structure of the system, and we use this structure to prove local well-posedness arbitrarily close to the critical regularity

Topics: Maxwell Dirac equations, null structure, hyperbolic equations
Publisher: American Mathematical Society
Year: 2009
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