On the prolongation of local holomorphic solutions of partial differential equations, III, equations of the Fuchsian type

Yoshimichi TSUNO

doi:10.2969/jmsj/02840611

Yoshimichi TSUNO

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1976 Volume 28 Issue 4 Pages 611-616

DOI https://doi.org/10.2969/jmsj/02840611

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Published: 1976 Received: May 02, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : On the prolongation of local holomorphic solutions of partial differential equations, III
Right : On the prolongation of local holomorphic solutions of partial differential equations, III, equations of the Fuchsian type

Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : equations of the Fuchsian type

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. S. Baouendi and C. Goulaouic, Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math., 26 (1973), 455-475.
2) P. Pallu de La Barrière, Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, C.R. Acad. Sci. Paris, 279 (1974), 947-949.
3) J. M. Bony et P. Schapira, Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, Invent. Math., 17 (1972), 95-105.
4) L. Hörmander, Linear partial differential operators, Springer-Verlag, 1963.
5) Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, J. Math. Soc. Japan, 26 (1974), 523-548.
6) Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, II, prolongation across the pluri-harmonic hypersurface, J. Math. Soc. Japan, 28 (1976), 304-306.
7) Y. Tsuno, On the prolongation of local holomorphic solutions of nonlinear partial differential equations, J. Math. Soc. Japan, 27 (1975), 454-466. Its summary is published in Proc. Japan Acad., 50 (1974), 702-705.
8) M. Zerner, Domaines d'holomorphie des fonctions vérifiant une équation aux dérivées partielles. C. R Acad. Sci. Paris, 272 (1971), 1646-1648.

Right : [1] M. S. Baouendi and C. Goulaouic, Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math., 26 (1973), 455-475.
[2] P. Pallu de La Barrière, Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, C. R. Acad. Sci. Paris, 279 (1974), 947-949.
[3] J. M. Bony et P. Schapira, Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, Invent. Math., 17 (1972), 95-105.
[4] L. Hörmander, Linear partial differential operators, Springer-Verlag, 1963.
[5] Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, J. Math. Soc. Japan, 26 (1974), 523-548.
[6] Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, II, prolongation across the pluri-harmonic hypersurface, J. Math. Soc. Japan, 28 (1976), 304-306.
[7] Y. Tsuno, On the prolongation of local holomorphic solutions of nonlinear partial differential equations, J. Math. Soc. Japan, 27 (1975), 454-466. Its summary is published in Proc. Japan Acad., 50 (1974), 702-705.
[8] M. Zerner, Domaines d'holomorphie des fonctions vérifiant une équation aux dérivées partielles. C. R Acad. Sci. Paris, 272 (1971), 1646-1648.

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