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Identification Problems for Partial Differential Equations of Hyperbolic Type
https://doi.org/10.15083/00040983
https://doi.org/10.15083/00040983dd5f02b9-5bb1-4167-b2a2-f8ddd69269e9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
scp042002.pdf (1.9 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-11-19 | |||||
| タイトル | ||||||
| タイトル | Identification Problems for Partial Differential Equations of Hyperbolic Type | |||||
| 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 | 10.15083/00040983 | |||||
| ID登録タイプ | JaLC | |||||
| 著者 |
Yamamoto, Masahiro
× Yamamoto, Masahiro× Nakagiri, Shin-Ichi |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, College of Arts and Sciences, University of Tokyo|Department of Applied Mathematics, Faculty of Engineering Kobe University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In this paper, we consider initial value-boundary value problems for partial differential equations of hyperbolic type whose coefficients are all independent of time t. We show a necessary and sufficient condition on initial values guaranteeing that values of the corresponding solutions over the whole spatial domain and t≧t$F_0$ (given time), uniquely determine coefficients in the equation. Moreover for any given initial values, we specify a spatial subdomain where all coefficients can be determined from the above-mentioned values of the solutions. Finally we prove : in the case of the one spatial dimension, such a domain is maximal among subdomains where coefficients can be uniquely determined. | |||||
| 書誌情報 |
Scientific papers of the College of Arts and Sciences, the University of Tokyo 巻 42, p. 33-62, 発行日 1992 |
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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Scheme | NDC | |||||
| 主題 | 410 | |||||
| 出版者 | ||||||
| 出版者 | The University of Tokyo | |||||
