JournalsprimsVol. 34, No. 2pp. 179–190

Singularities in Fuchsian Cauchy Problems with Holomorphic Data

  • Hideshi Yamane

    University of Tokyo, Japan
Singularities in Fuchsian Cauchy Problems with Holomorphic Data cover
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Abstract

It has been proved by Baouendi and Goulaouic that the holomorphic Cauchy problem for a Fuchsian partial differential operator of weight mm' has a unique solution if its characteristic exponents avoid integers ≥_m_—m'. In the present paper we consider the singularity of the solution which appears if some of the characteristic exponents take integral values ≥_m_—m'.

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Hideshi Yamane, Singularities in Fuchsian Cauchy Problems with Holomorphic Data. Publ. Res. Inst. Math. Sci. 34 (1998), no. 2, pp. 179–190

DOI 10.2977/PRIMS/1195144760