Singularities of solutions of equations with noninvolutive characteristics-I the case of second order Fuchsian equations

Sunao OUCHI

doi:10.2969/jmsj/04520215

Singularities of solutions of equations with noninvolutive characteristics-I

the case of second order Fuchsian equations

Sunao OUCHI

著者情報

ジャーナルフリー

1993 年 45 巻 2 号 p. 215-251

DOI https://doi.org/10.2969/jmsj/04520215

詳細

Published: 1993 Received: 1990/10/19 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : Singularities of solutions of equations with noninvolutive characteristics-I; the case of second order Fuchsian equations
Right : Singularities of solutions of equations with noninvolutive characteristics-I

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Right : the case of second order Fuchsian equations

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. S. Bauoendi and C. Goulaouic, Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math., 26 (1973), 455-475.
2) S. Fujiie, On some degenerate elliptic equations of Fuchsian type with variable characteristic exponents (in Japanese), Kyoto Univ. master thesis, (1989).
3) Y. Hamada, The singularities of solutions of Cauchy problem, Publ. Res. Inst. Math. Sci., 5 (1969), 21-40.
4) Y. Hamada, J. Leray and C. Wagschal, Systèmes d'équations aux derivées partielles à caractéristiques multiples; problème de Cauchy ramifié; hyperbolicité partielle, J. Math. Pures Appl., 55 (1976), 297-352.
5) Y. Hasegawa, On the initial value problems with data on a characteristic hypersurface, J. Math. Kyoto Univ., 13 (1973), 579-593.
6) S. Ouchi, An integral representation of singular solutions of linear partial differential equations in the complex domain, J. Fac. Sci. Univ. Tokyo, Sect. IA Math., 27 (1980), 37-85.
7) S. Ouchi, An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations, Publ. Res. Inst. Math. Sci., 26 (1990), 735-783.
8) H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. (N. S.), 5 (1979), 245-347.
9) J. Urabe, Meromorphic representations of the solutions of the singular Cauchy problems II, J. Math Kyoto Univ., 28 (1988), 335-342.
10) C. Wagschal, Problème de Cauchy analytique à données méromorphes, J. Math. Pures Appl., 51 (1972), 375-397.

Right : [1] M. S. Bauoendi and C. Goulaouic, Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math., 26 (1973), 455-475.
[2] S. Fujiie, On some degenerate elliptic equations of Fuchsian type with variable characteristic exponents (in Japanese), Kyoto Univ. master thesis, (1989).
[3] Y. Hamada, The singularities of solutions of Cauchy problem, Publ. Res. Inst. Math. Sci., 5 (1969), 21-40.
[4] Y. Hamada, J. Leray and C. Wagschal, Systèmes d'équations aux derivées partielles à caractéristiques multiples; problème de Cauchy ramifié; hyperbolicité partielle, J. Math. Pures Appl., 55 (1976), 297-352.
[5] Y. Hasegawa, On the initial value problems with data on a characteristic hypersurface, J. Math. Kyoto Univ., 13 (1973), 579-593.
[6] S. Ouchi, An integral representation of singular solutions of linear partial differential equations in the complex domain, J. Fac. Sci. Univ. Tokyo, Sect. IA Math., 27 (1980), 37-85.
[7] S. Ouchi, An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations, Publ. Res. Inst. Math. Sci., 26 (1990), 735-783.
[8] H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. (N. S.), 5 (1979), 245-347.
[9] J. Urabe, Meromorphic representations of the solutions of the singular Cauchy problems II, J. Math Kyoto Univ., 28 (1988), 335-342.
[10] C. Wagschal, Problème de Cauchy analytique à données méromorphes, J. Math. Pures Appl., 51 (1972), 375-397.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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