Geodesic
Necessary conditions for the correctness of the Cauchy problem for hyperbolic systems with multiple characteristics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 4 
V. M. Petkov. Necessary conditions for the correctness of the Cauchy problem for hyperbolic systems with multiple characteristics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 4. http://geodesic.mathdoc.fr/item/RM_1972_27_4_a22/
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     author = {V. M. Petkov},
     title = {Necessary conditions for the correctness of the {Cauchy} problem for hyperbolic systems with multiple characteristics},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     year = {1972},
     volume = {27},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/RM_1972_27_4_a22/}
}
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[1] P. D. Lax, “Asymptotic solutions of oscillatory initial value problems”, Duke Math. J., 24:4 (1957) | DOI | MR | Zbl

[2] S. Mizohata, “Some remarks on the Cauchy problem”, J. Math. Kyoto Univ., 1:1 (1961) | MR | Zbl

[3] T. Kano, “A nessecery condition for the well posedness of the Cauchy problem for the first order hyperbolic system with multiple characteristics”, Publ. RIMS Kyoto Univ., ser. A, 5:2 (1969) | MR | Zbl