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Ramification des Solutions du Probleme de Cauchy Fuchsien au Voisinage de I' Hypersurface Initiale
http://hdl.handle.net/2261/7525
http://hdl.handle.net/2261/752528aff5dd-976f-4adb-9dfd-2997f14c2df2
名前 / ファイル | ライセンス | アクション |
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jms120401.pdf (190.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Ramification des Solutions du Probleme de Cauchy Fuchsien au Voisinage de I' Hypersurface Initiale | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Patrice, Pongerard
× Patrice, Pongerard |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The purpose of this paper is the decision of the domain of ramification near the initial surface $t=0$ of solutions of the Cauchy problem for a linear differential operator of Fuchs type according to Baouendi-Goulaouic. Our main result in theorem 1.1 is as follows : if, for a certain continuous function $f$, the datas are ramified in an open set of the form $\{(t,x)\in{\bf C}\times\O ;\ |t|<f(x) \}$, then the solution is ramified in an open set of the form $\{(t,x)\in{\bf C}\times\O' ;\ |t|<c f(x)^m \}$. The proof is reduced to a fuchsian equation (with an additional variable $z$) that is solved by the fixed-point theorem in a Banach space. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 12, 号 4, p. 493-512, 発行日 2006-01-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathmatical Subject Classification | ||||||
35A07(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
35A20(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
35A10(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2005-03-11 |