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Inverse Problems for Time-Dependent Singular Heat Conductivities---One-Dimensional Case
http://hdl.handle.net/2241/119609
http://hdl.handle.net/2241/119609191d55cd-a998-4a2d-b33f-af4d987dad49
名前 / ファイル | ライセンス | アクション |
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SIAM-JMA_45-3.pdf (273.4 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2013-08-29 | |||||
タイトル | ||||||
タイトル | Inverse Problems for Time-Dependent Singular Heat Conductivities---One-Dimensional Case | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Gaitan, P.
× Gaitan, P.× Isozaki, H.× Poisson, O.× Siltanen, S.× Tamminen, J. P. |
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著者別名 |
磯崎, 洋
× 磯崎, 洋 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We consider an inverse boundary value problem for the heat equation on the interval $(0,1)$, where the heat conductivity $\gamma(t,x)$ is piecewise constant and the point of discontinuity depends on time: $\gamma(t,x) = k^2 \ (0 < x < s(t))$, $\gamma(t,x) = 1\ (s(t) < x < 1)$. First, we show that $k$ and $s(t)$ on the time interval $[0,T]$ are determined from a partial Dirichlet-to-Neumann map: $u(t,1) \to \partial_xu(t,1), \ 0 < t < T$, $u(t,x)$ being the solution to the heat equation such that $u(t,0)=0$, independently of the initial data $u(0,x)$. Second, we show that another partial Dirichlet-to-Neumann map: $u(t,0) \to \partial_xu(t,1), \ 0 < t < T$, $u(t,x)$ being the solution to the heat equation such that $u(t,1)=0$, restricts the pair $(k,s(t))$ to, at most, two cases on the time interval $[0,T]$, independently of the initial data $u(0,x)$. | |||||
書誌情報 |
SIAM journal on mathematical analysis 巻 45, 号 3, p. 1675-1690, 発行日 2013-05 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0036-1410 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00424217 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1137/120886510 | |||||
権利 | ||||||
権利情報 | © 2013, Society for Industrial and Applied Mathematics | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | Society for Industrial and Applied Mathematics | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/119609 | |||||
識別子タイプ | HDL |