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The block structure condition for symmetric hyperbolic systems. (English) Zbl 1073.35525

Summary: In the analysis of hyperbolic boundary value problems, the construction of Kreiss’ symmetrizers relies on a suitable block structure decomposition of the symbol of the system. In this paper, we show that this block structure condition is satisfied by all symmetrizable hyperbolic systems of constant multiplicity.

MSC:

35L50 Initial-boundary value problems for first-order hyperbolic systems
35L67 Shocks and singularities for hyperbolic equations
35L75 Higher-order nonlinear hyperbolic equations
35Q35 PDEs in connection with fluid mechanics
35Q60 PDEs in connection with optics and electromagnetic theory
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