On the Problem of Symmetrizability for Hyperbolic Systems of First
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.
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July 15 2003.
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