Electron. J. Diff. Eqns., Vol. 1999(1999), No. 25, pp. 1-14.

A necessary and sufficient condition for the diagonalization of multi-dimensional quasilinear systems

De-xing Kong

Abstract:
In this paper, the author obtains a necessary and sufficient condition on the diagonalization of multi-dimensional quasilinear systems of first order, and gives some physical applications.

Submitted July 1, 1999. Published July 29, 1999.
Math Subject Classification: 35F20, 35L40.
Key Words: Quasilinear systems, diagonalization, strict Riemann invariants, conservation laws.

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De-xing Kong
Department of Mathematics
Kyoto Sangyo University
Kyoto 603-8555, Japan
e-mail: dkong@cc.kyoto-su.ac.jp
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