{"created":"2021-03-01T07:07:45.947360+00:00","id":29289,"links":{},"metadata":{"_buckets":{"deposit":"4c1d6b64-f6a3-4a33-bc63-8d1d0a2702b6"},"_deposit":{"id":"29289","owners":[],"pid":{"revision_id":0,"type":"depid","value":"29289"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00029289","sets":["117:119","3:62:5601:2076"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"1690","bibliographicPageStart":"1675","bibliographicVolumeNumber":"45","bibliographic_titles":[{"bibliographic_title":"SIAM journal on mathematical analysis"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"磯崎, 洋"}],"nameIdentifiers":[{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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 $u(0,x)$.","subitem_description_type":"Abstract"}]},"item_5_identifier_34":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2241/119609"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Society for Industrial and Applied Mathematics"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1137/120886510","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2013, Society for Industrial and Applied Mathematics"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0036-1410","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00424217","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Gaitan, P."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Isozaki, H."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Poisson, O."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Siltanen, S."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Tamminen, J. P."}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-12-25"}],"displaytype":"detail","filename":"SIAM-JMA_45-3.pdf","filesize":[{"value":"273.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"SIAM-JMA_45-3.pdf","url":"https://tsukuba.repo.nii.ac.jp/record/29289/files/SIAM-JMA_45-3.pdf"},"version_id":"d7f8ff6e-ad76-4749-b916-ddc639f6f214"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Inverse Problems for Time-Dependent Singular Heat Conductivities---One-Dimensional Case","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Inverse Problems for Time-Dependent Singular Heat Conductivities---One-Dimensional Case"}]},"item_type_id":"5","owner":"1","path":["119","2076"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-08-29"},"publish_date":"2013-08-29","publish_status":"0","recid":"29289","relation_version_is_last":true,"title":["Inverse Problems for Time-Dependent Singular Heat Conductivities---One-Dimensional Case"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-04-27T08:57:39.299789+00:00"}