Holomorphic continuation of solutions of partial differential equations across the multiple characteristic surface

Yoshimichi TSUNO

doi:10.2969/jmsj/03220285

Yoshimichi TSUNO

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JOURNAL FREE ACCESS

1980 Volume 32 Issue 2 Pages 285-299

DOI https://doi.org/10.2969/jmsj/03220285

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Published: 1980 Received: June 23, 1978 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: CITATION Details: Wrong : 1) T. Bloom and I. Graham, On 'Type' Conditions for Generic Real Submanifolds of Cⁿ, Invent. Math., 40 (1977), 212-243.
2) J. M. Bony and P. Schapira, Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, Invent. Math., 17 (1972), 95-105.
3) L. Hörmander, Linear Partial Differential Operators, 2nd revised printing, SpringerVerlag, 1964.
4) L. Hörmander, On the singularities of solutions of partial differential equations, Comm. Pure Appl. Math., 23 (1970), 329-358.
5) P. Pallu de La Barrière, Existence et prolongement des solutions holomophes des équations aux dérivées partielles, J. Math. Pures Appl., 55 (1976), 21-46.
6) J. Persson, Local analytic continuation of holomorphic solutions of partial differential Equations, Ann. Mat. Pura Appl., 112 (1977), 193-204.
7) Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, J. Math. Soc. Japan, 26 (1974), 523-548.
8) 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.
9) Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, III, equations of the Fuchsian type, J. Math. Soc. Japan, 28 (1976), 611-616.
10) M. Zerner, Domaines d'holomorphie des fonctions vérifiant une équation aux dérivées partielles, C. R. Acad. Sci. Paris, 272 (1971), 1646-1648.
11) Y. Tsuno, Holomorphic continuation of solutions of degenerate partial differential equations in two variables, Proc. Japan Acad., 54 (1978), 226-229.

Right : [1] T. Bloom and I. Graham, On ‘Type’ Conditions for Generic Real Submanifolds of Cⁿ, Invent. Math., 40 (1977), 212-243.
[2] J. M. Bony and P. Schapira, Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, Invent. Math., 17 (1972), 95-105.
[3] L. Hörmander, Linear Partial Differential Operators, 2nd revised printing, SpringerVerlag, 1964.
[4] L. Hörmander, On the singularities of solutions of partial differential equations, Comm. Pure Appl. Math., 23 (1970), 329-358.
[5] P. Pallu de La Barrière, Existence et prolongement des solutions holomophes des équations aux dérivées partielles, J. Math. Pures Appl., 55 (1976), 21-46.
[6] J. Persson, Local analytic continuation of holomorphic solutions of partial differential Equations, Ann. Mat. Pura Appl., 112 (1977), 193-204.
[7] Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, J. Math. Soc. Japan, 26 (1974), 523-548.
[8] 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.
[9] Y. Tsuno, On the prolongation of local holomorphic solutions of partial differential equations, III, equations of the Fuchsian type, J. Math. Soc. Japan, 28 (1976), 611-616.
[10] M. Zerner, Domaines d'holomorphie des fonctions vérifiant une équation aux dérivées partielles, C. R. Acad. Sci. Paris, 272 (1971), 1646-1648.
[11] Y. Tsuno, Holomorphic continuation of solutions of degenerate partial differential equations in two variables, Proc. Japan Acad., 54 (1978), 226-229.

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