On the C∞-Goursat problem for some second order equations with variable coefficients

Yukiko HASEGAWA

doi:10.2969/jmsj/05030639

On the C^∞-Goursat problem for some second order equations with variable coefficients

Yukiko HASEGAWA

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JOURNAL FREE ACCESS

1998 Volume 50 Issue 3 Pages 639-662

DOI https://doi.org/10.2969/jmsj/05030639

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Published: 1998 Received: December 06, 1995 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) R. Courant and D. Hilbert; Methods of Mathematical Physics 1. Inter science publishers. New York (1953).
2) L. Hadamard; Le Problèm de Cauchy. Paris (1932).
3) Y. Hasegawa; On the C^∞-Goursat problem for 2nd order Equations with real constant coefficients. Proc. Japan acad. 51 (1975) 516-519.
4) Y. Hasegawa; On the C^∞-Goursat problem for equations with constant coefficients. J. Math. Kyoto Univ. 19 (1979) 125-151.
5) Y. Hasegawa; On the Levi condition for Goursat Problem. J. Math. Kyoto Univ. 27 (1987) 1-25.
6) Y. Hasegawa; A Remark on the C^∞-Goursat Problem II. Pobl. RIMS, Kyoto Univ. 28 (1992) 207-222.
7) T. Mandai; On the C^∞-well-posedness of Goursat Problems. Publ. RIMS, Kyoto Univ. 21(1985) 843-852.
8) T. Nishitani; On the _??_-well-posedness for the Goursat problem with constant coefficients. J. Math. Kyoto Univ. 20 (1980) 179-190.
9) T. Nishitani; Une remarque sur le problème de Goursat. Séminaire sur les équations aux dérivées partielles hyperboliques et holomorphes (1981-82), J. Vaillant, Université de Paris VI.

Right : [1] R. Courant and D. Hilbert; Methods of Mathematical Physics 1. Inter science publishers. New York (1953).
[2] L. Hadamard; Le Problèm de Cauchy. Paris (1932).
[3] Y. Hasegawa; On the C^∞-Goursat problem for 2nd order Equations with real constant coefficients. Proc. Japan acad. 51 (1975) 516-519.
[4] Y. Hasegawa; On the C^∞-Goursat problem for equations with constant coefficients. J. Math. Kyoto Univ. 19 (1979) 125-151.
[5] Y. Hasegawa; On the Levi condition for Goursat Problem. J. Math. Kyoto Univ. 27 (1987) 1-25.
[6] Y. Hasegawa; A Remark on the C^∞-Goursat Problem II. Pobl. RIMS, Kyoto Univ. 28 (1992) 207-222.
[7] T. Mandai; On the C^∞-well-posedness of Goursat Problems. Publ. RIMS, Kyoto Univ. 21(1985) 843-852.
[8] T. Nishitani; On the g-well-posedness for the Goursat problem with constant coefficients. J. Math. Kyoto Univ. 20 (1980) 179-190.
[9] T. Nishitani; Une remarque sur le problème de Goursat. Séminaire sur les équations aux dérivées partielles hyperboliques et holomorphes (1981-82), J. Vaillant, Université de Paris VI.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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