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 タイトル: Problème de Cauchy Caractéristique à Solution Entière 著者: Pongerard, Patrice 発行日: 2001年 出版者: Graduate School of Mathematical Sciences, The University of Tokyo 掲載誌情報: Journal of Mathematical Sciences, The University of Tokyo. Vol. 8 (2001), No. 1, Page 89-105 抄録: For a Fuchsian differential operator with order $m$ and weight $p\in[0,m]$ in the sense of M. S. Baouendi and C. Goulaouic, we approach the study of the Cauchy problem in entire functions spaces. This article is mainly based on the fixed-point theorem in a Banach space defined by a majorant function with two variables that is suitable to this kind of operator. The proposed method allows one to generalize a H. Yamane theorem and to give the order of the solution ; when $p=m$, we find again the well-known theorems. URI: http://hdl.handle.net/2261/1194 ISSN: 13405705 出現カテゴリ: Journal of Mathematical Sciences, the University of TokyoJournal of Mathematical Sciences, the University of Tokyo

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