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On the propagation of singularities of the solution of the Cauchy problem. (English) Zbl 0227.35009


MSC:

35A10 Cauchy-Kovalevskaya theorems
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[1] Carding, L., T. Kotake et J. Leray, Uniformisation et d£veloppement asymptotique de la solution du probleme de Cauchy lineaire, a donnees holomorphes, Bull. Soc. Math. France 92 (1962), 263-361. · Zbl 0147.08101
[2] Hamada, Y., The singularities of the solutions of the Cauchy problem, Publ. RIMS, Kyoto Univ. 5 (1969), 21-40. · Zbl 0203.40702 · doi:10.2977/prims/1195194750
[3] Lax, A., On Cauchy’s problem for partial differential equation with multiple characteristics, Comm. Pure Appl. Math. 9 (1956), 135-169. · Zbl 0073.31701 · doi:10.1002/cpa.3160090203
[4] Ludwig, D., Exact and asymptotic solutions of the Cauchy problem, Comm. Pure Appl. Math. 13 (1960), 473-508. · Zbl 0098.29601 · doi:10.1002/cpa.3160130310
[5] Matsuura, S., On non-strict hyperbolicity, Proceeding of International Conference on Functional Analysis and Related Topics, Tokyo, April 1969. · Zbl 0197.36901
[6] Mizohata, S., Solutions nulles et solutions non analytiques, J. Math. Kyoto Univ. 1 (1962), 271-302. · Zbl 0106.29601
[7] Mizohata, S., Analyticity of the fundamental solutions of hyperbolic system, hyperbolizes, Publ. RIMS, Kyoto Univ. Ser. A, 4 (1968), 511-526.
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