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Structure of solutions to Fuchsian systems of partial differential equations

Published online by Cambridge University Press:  22 January 2016

Takeshi Mandai  and
Hidetoshi Tahara
Takeshi Mandai
Affiliation:
Research Center for Physics and Mathematics, Osaka Electro-Communication University, 18-8 Hatsu-cho, Neyagawa-shi, Osaka 572-8530, Japan, mandai@isc.osakac.ac.jp
Hidetoshi Tahara
Affiliation:
Department of Mathematics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku, Tokyo 102-8554, Japan, h-tahara@hoffman.cc.sophia.ac.jp
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Abstract

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To a certain Volevič system of singular partial differential equations, called a Fuchsian system, all the solutions of the homogeneous equation in a complex domain are constructed and parametrized in a good way, without any assumption on the characteristic exponents.

Keywords

35A0735B3035A2035B60
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 169 , 2003 , pp. 1 - 17
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

References

[1] Baouendi, M. S. and Goulaouic, C., Cauchy problems with characteristic initial hyper-surface, Comm. Pure Appl. Math., 26 (1973), 455–475.Google Scholar
[2] Mandai, T., The method of Frobenius to Fuchsian partial differential equations, J. Math. Soc. Japan, 52 (2000), 645–672.CrossRefGoogle Scholar
[3] Miyake, M., On Cauchy-Kowalevski’s theorem for general systems, Publ. Res. Inst. Math. Sci., 15, 315–337.Google Scholar
[4] Tahara, H., Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. (N.S.), 5 (1979), 245–347.Google Scholar
[5] Tahara, H., On a Volevič system of singular partial differential equations, J. Math. Soc. Japan, 34 (1982), 279–288.Google Scholar