On strong hyperbolicity for first order systems. (English) Zbl 0579.35046
The author studies the strong hyperbolicity for first order hyperbolic systems
\[
L(x,D)=-D_ 0+\sum^{d}_{j=1}A_ j(x)D_ j+B(x)
\]
where \(A_ j(x)\), B(x) are \(N\times N\) matrices with smooth entries defined near the origin in \(R^{d+1}\) with coordinates \(x=(x_ 0,x^ 1)=(x_ 0,x_ 1,...,x_ d)\) and \(D_ j=-i(\partial /\partial x_ j)\).
Reviewer: N.L.Maria
MSC:
| 35L40 | First-order hyperbolic systems |
| 35L45 | Initial value problems for first-order hyperbolic systems |
Keywords:
strong hyperbolicityReferences:
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