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.
Low regularity solutions of the Maxwell-Dirac system
FOSCHI, Damiano;
2009
Abstract
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.File in questo prodotto:
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