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

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 n...

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Bibliographic Details
Main Author: Achenef Tesfahun
Format: Article
Language:English
Published: Texas State University 2007-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/162/abstr.html