References
Fotiadi, D., Froissart, M., Lascoux, J., Pham, F.: Applications of an isotopy theorem. Topology4, 159–191 (1965)
Fukuda, T.: Types topologiques des polynomes. Publ. Math. I.H.E.S.46, 87–106 (1976)
Fukuda, T., Kobayashi, T.: A local isotopy lemma. Tokyo J. Math.5, 31–36 (1982)
Hamada, Y.: Problème analytique de Cauchy a caractéristiques multiples dont les données de Cauchy ont des singularités polaires. C.R. Acad. Sci. Paris, Ser. A.276, 1681–1684 (1973)
Hamada, Y., Leray, J., Wagschal, C.: Systèmes d'équations aux dérivées partielles a caractéristiques multiples: problème de Cauchy ramifiés; hyperbolicité partielle. J. Math. Pures Appl.55, 297–352 (1976)
Hamada, Y., Nakamura, G.: On the singularities of the solution of the Cauchy problem for the operator with non-uniform multiple characteristics. Ann Scuola Norm. Sup. Pisa4, 725–755 (1977)
Ishii, T.: On a representation of the solution of the Cauchy problem with singular initial data. Proc. Japan Acad.56, 59–61 (1980)
Kobayashi, T.: On the singular Cauchy problem for operators with variable involutive characteristics. J. Fac. Sci. Univ. Tokyo. Sect. 1A29, 97–142 (1982)
Lamport, L.: An extension of a theorem of Hamada on the Cauchy problem with singulat data. Bull. Am. Math. Soc.79, 776–779 (1973)
Leray, J.: Un complément au théorème de N. Nilsson sur les intégrales de formes differentielles a support singulier algébrique. Bull. Soc. Math. France95, 313–374 (1976)
Mather, J.: Note on topological stability. Lecture Notes. Harvard University (1970)
Nakamura, G.: The singular Cauchy problem for systems whose characteristic roots are nonuniform multiple. Proc. Japan Acad.53, 135–138 (1977)
Ōuchi, S.: Asymptotic behaviour of singular solutions of linear partial differential equations in the complex domain. J. Fac. Sci. Uni. Tokyo, Sect. 1A, Math.27, 1–36 (1980)
Pham, F.: Introduction à l'étude topologique des singularités de Landau. Memo. Sci. Math. 164
Schiltz, D., Vaillant, J., Wagschal, C.: Problème de Cauchy ramifié à caractéristiques multiples en involution. C. R. Acad. Sci. Paris Ser. A291, 659–662 (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kobayashi, T. On the singularities of the solution to the Cauchy problem with singular data in the complex domain. Math. Ann. 269, 217–234 (1984). https://doi.org/10.1007/BF01451420
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01451420