Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system
Date
2007-11-21
Authors
Tesfahun, Achenef
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Dirac equation, Klein-Gordon equation, Low regular solutions, Local well-posedness
Citation
Tesfahun, A. (2007). Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system. <i>Electronic Journal of Differential Equations, 2007</i>(162), pp. 1-26.
Rights
Attribution 4.0 International