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Some properties of mild hyperfunctions and an application to propagation of micro-analyticity in boundary value problems
https://doi.org/10.15083/00039555
https://doi.org/10.15083/00039555d64f2230-3288-4132-8a2f-e82f213e6f0f
名前 / ファイル | ライセンス | アクション |
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jfs300204.pdf (731.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-31 | |||||
タイトル | ||||||
タイトル | Some properties of mild hyperfunctions and an application to propagation of micro-analyticity in boundary value problems | |||||
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 | |||||
ID登録 | ||||||
ID登録 | 10.15083/00039555 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Kataoka, Kiyomi
× Kataoka, Kiyomi |
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著者所属 | ||||||
著者所属 | Department of Mathematics Faculty of Science Tokyo Metropolitan University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The notion of mildness for hyperfunctions ([5]) was successfully applied in [6] to the microlocal analysis of boundary value problems. In the present Journal Article, we study some further properties of mild hyperfunctions, particularly under Holmgren-type coordinate transformations. As corollaries, we obtain a general theorem on the propagation of micro-analyticity up to the boundary of solutions of microdifferential equations, and a theorem on the compatibility between topological boundary values and Trace of mild distributions. The former result has already been announced in [7]. The latter one is the perfect form of the similar result in [5]. | |||||
書誌情報 |
Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = 東京大学理学部紀要. 第1類A, 数学 巻 30, 号 2, p. 279-297, 発行日 1983-12-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00408980 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00697967 | |||||
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 | 410 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR0722498 (85k:58071) | ||||||
出版者 | ||||||
出版者 | Faculty of Science, The University of Tokyo |