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The Cauchy problem for effectively hyperbolic equations (general cases). (English) Zbl 0613.35046
The author proves that effectively hyperbolic operators of higher order are strongly hyperbolic. This fact is shown by the method called the recombination of characteristics. The author proved this result for second order operators in two previous papers [J. Math. Kyoto Univ. 23, 503-562 (1983; Zbl 0546.35037) and Publ. Res. Inst. Math. Sci. 20, 543- 584 (1984; Zbl 0565.35065)].
Reviewer: R.Salvi

MSC:
35L30 Initial value problems for higher-order hyperbolic equations
35A30 Geometric theory, characteristics, transformations in context of PDEs
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