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Sur la condition de E. E. Levi concernant des équations hyperboliques. (French) Zbl 0202.37401


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[1] Hôrmander, L., Pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 501-158. · Zbl 0125.33401 · doi:10.1002/cpa.3160180307
[2] Kano, T., On thé Cauchy problem for équations with multiple characteristics, à paraître au J. Math. Soc. Japan. · Zbl 0524.35004 · doi:10.1016/0022-0396(83)90096-7
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[4] Lax, A., On Cauchy’s problem for partial differential équations with multiple characteristics, Comm. Pure Appl. Math. 9 (1956), 135-169. · Zbl 0073.31701 · doi:10.1002/cpa.3160090203
[5] Leray, J. et Y. Ohya, Equations et systèmes non linéaires, hyperboliques non stricts, Math. Ann. 170 (1967), 167-205. · Zbl 0146.33701 · doi:10.1007/BF01350150
[6] Levi, E. E., Caratteristiche multiple e problema di Cauchy, Ann. di Mat. 16 (1909), 161-201.
[7] Matsumura, M., Existence locale de solutions pour quelques systèmes d’équations aux dérivées partielles, Jap. J. Math. 32 (1962), 13-49. · Zbl 0168.35401
[8] Mizohata, S., Lectures on thé Cauchy problem, Tata Institute of Fundamental Research, 1962.
[9] – , Some remarks on thé Cauchy Problem, J. Math. Kyoto Univ. l (1961-1962), 109-127.
[10] Ohya, Y., Le problème de Cauchy pour les équations hyperboliques à caractéris- tique multiple, J. Math. Soc. Japan, 16 (1964), 268-286. · Zbl 0143.13602 · doi:10.2969/jmsj/01630268
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