Department of Mathematical Sciences
Norwegian University of Science and Technology
Alfred Getz' vei 1, N-7491 Trondheim, Norway
email: tesfahun@math.ntnu.no
Achenef Tesfahun
Abstract:
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.
Submitted June 22, 2007. Published November 21, 2007.
Math Subject Classifications: 35Q40, 35L70.
Key Words: Dirac equation; Klein-Gordon equation; low regular solutions;
local well-posedness.
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Achenef Tesfahun Department of Mathematical Sciences Norwegian University of Science and Technology Alfred Getz' vei 1, N-7491 Trondheim, Norway email: tesfahun@math.ntnu.no |
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