Electron. J. Diff. Eqns., Vol. 2004(2004), No. 102, pp. 1-19.

Low regularity solutions for Dirac-Klein-Gordon equations in one space dimension

Yung-fu Fang

Abstract:
We establish the existence of local and global solutions for Dirac-Klein-Gordon equations in one space dimension. This is done using a null form estimate and a fixed point argument.

Submitted August 13, 2004. Published August 27, 2004.
Math Subject Classifications: 35L70.
Key Words: Dirac-Klein-Gordon; null form; low regularity; fixed point argument.

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Yung-fu Fang
Department of Mathematics
National Cheng Kung University
Tainan 701 Taiwan
email: fang@math.ncku.edu.tw

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