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Hyperbolicity for systems. (English) Zbl 1061.35046
Begehr, Heinrich G. W. (ed.) et al., Analysis and applications–ISAAC 2001.
Proceedings of the 3rd international congress, Berlin, Germany, August 20–25, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1384-1/hbk). Int. Soc. Anal. Appl. Comput. 10, 237-252 (2003).
The author investigates for which systems of linear partial differential operators the Cauchy problem is \(C^\infty\) well posed for any lower order terms (strong hyperbolicity), or for which systems the Cauchy problem is \(C^\infty\) well posed (hyperbolicity). In this paper he presents a survey of the subject, in particular focussing the interests on the necessary conditions for strong hyperbolicity or just hyperbolicity.
For the entire collection see [Zbl 1031.35002].

35L30 Initial value problems for higher-order hyperbolic equations