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Interaction of Singularities of Solution to Semilinear Wave Equation at the Boundary
https://doi.org/10.15083/00040997
https://doi.org/10.15083/00040997c462b807-1a54-49b1-af1c-46fc18c18404
名前 / ファイル | ライセンス | アクション |
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scp038006.pdf (546.1 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-11-19 | |||||
タイトル | ||||||
タイトル | Interaction of Singularities of Solution to Semilinear Wave Equation at the Boundary | |||||
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 | 10.15083/00040997 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Kato, Keiichi
× Kato, Keiichi |
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著者所属 | ||||||
著者所属 | Department of Pure and Applied Sciences, College of Arts and Sciences, University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We shall study the reflection of singularities at the boundary for the semilinear wave equation u=F(x,u) in 3 dimensional space-time. We shall show that if a H$F^s$-solution (s>3/2) is conormal in the past to a union of a characteristic plane and its reflected one, then singularities of the solution are reflected as in the linear case, and that if a H$F^s$-solution is conormal to two characteristic planes and their reflected ones in the past, then the solution can be singular not only on the four planes but also on the light cone from the point at which the four planes intersest. | |||||
書誌情報 |
Scientific papers of the College of Arts and Sciences, the University of Tokyo 巻 38, p. 131-139, 発行日 1988 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 02897520 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA10538733 | |||||
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 | |||||
出版者 | ||||||
出版者 | The University of Tokyo |