Preprint 2003-048

On the Problem of Symmetrizability for Hyperbolic Systems of First Order

Abstract: It is shown that a general nonstrictly hyperbolic first order $n\times n$-system with $m$ spatial variables can be always symmetrized only in the cases when $n=2$ or $m=1$. Connection with symmetrizability (in Friedrich's sense) of scalar hyperbolic equations is considered. Some algebraic criterion of symmetrizability is also given.

Paper:

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Author(s):

E.Yu.Panov, <pey@novsu.ac.ru>

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Submitted by:

<pey@novsu.ac.ru> July 15 2003.