arXiv:0706.3618 Abstract | arXiv Analytics

arXiv:0706.3618 [math.AP]Abstract References Reviews Resources

Low Regularity local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system

Published 2007-06-25Version 1

We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field. The result contains and extends the earlier known results for the same problem. Our proof relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type.

Categories: math.AP

Subjects: 35Q40, 35L70

Keywords: low regularity local well-posedness, dimensional dirac-klein-gordon system, bilinear spacetime estimates, result contains, cauchy problem

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