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arXiv:math/0509545 [math.AP]AbstractReferencesReviewsResources

Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system

Piero D'Ancona, Damiano Foschi, Sigmund Selberg

Published 2005-09-23Version 1

We prove almost optimal local well-posedness for the coupled Dirac-Klein-Gordon (DKG) system of equations in 1+3 dimensions. The proof relies on the null structure of the system, combined with bilinear spacetime estimates of Klainerman-Machedon type. It has been known for some time that the Klein-Gordon part of the system has a null structure; here we uncover an additional null structure in the Dirac equation, which cannot be seen directly, but appears after a duality argument.

Comments: 19 pages
Categories: math.AP
Subjects: 35Q40, 35L70
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