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The singularities of solutions of the Cauchy problems for systems whose characteristic roots are non-uniform multiple. (English) Zbl 0372.35052

MSC:
35L45 Initial value problems for first-order hyperbolic systems
35B99 Qualitative properties of solutions to partial differential equations
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[1] Granoff, B. and Ludwig, D., Propagation of singularities along characteristics with non-uniform multiplicities, J. Math. Anal. AppL, 21 (1968), 556-574. · Zbl 0159.39001 · doi:10.1016/0022-247X(68)90264-3
[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] 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
[4] De Paris, J-C., Probleme de Cauchy analytique a dennees singulieres pour un ope- ratuer differentiel bien decomposable, J. Math. Pures et AppL, 51 (1972), 465-488. · Zbl 0221.35058
[5] Wagschal, C., Probleme de Cauchy analytique a donnees meromorphes, J. Math. Pures et AppL, 51 (1972), 375-397. · Zbl 0242.35016
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