Singularities in Fuchsian Cauchy Problems with Holomorphic Data | Zendy

Hideshi Yamane | Zendy

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Singularities in Fuchsian Cauchy Problems with Holomorphic Data

Author(s) -

Hideshi Yamane

Publication year - 1998

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195144760

Subject(s) - holomorphic function , mathematics , gravitational singularity , cauchy distribution , cauchy's integral formula , pure mathematics , mathematical analysis , cauchy problem , initial value problem

It has been proved by Baouendi and Goulaouic that the holomorphic Cauchy problem for a Fuchsian partial differential operator of weight m—m' 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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