{"created":"2021-03-01T07:19:03.013037+00:00","id":39738,"links":{},"metadata":{"_buckets":{"deposit":"2028c570-070b-42c5-a813-98028ee1b1b7"},"_deposit":{"id":"39738","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39738"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00039738","sets":["117:1195","3:62:5592:1075"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"10","bibliographicPageEnd":"5423","bibliographicPageStart":"5411","bibliographicVolumeNumber":"261","bibliographic_titles":[{"bibliographic_title":"Journal of differential equations"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"木下, 保"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, we study well-posedness issues in the weighted L2L2 space for the Cauchy problem on [0,T]×Rx[0,T]×Rx for wave equations of the form View the MathML source∂t2u−a(t,x)∂x2u=0. We shall give the condition a(t,x)>0a(t,x)>0 for all (t,x)∈[0,T]×Rx(t,x)∈[0,T]×Rx which is between the strictly hyperbolic condition and weakly hyperbolic one, and allows the decaying coefficient a(t,x)a(t,x) such that lim|x|→∞⁡a(t,x)=0lim|x|→∞⁡a(t,x)=0 for all t∈[0,T]t∈[0,T]. Our concerns are the loss of derivatives and decays of the solutions.","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier Inc. "}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.jde.2016.08.019","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016 Elsevier Inc. All rights reserved."}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-0396","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":"AA00696680","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kinoshita, Tamotu"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-12-01"}],"displaytype":"detail","filename":"JDE_261-10.pdf","filesize":[{"value":"106.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"JDE_261-10","url":"https://tsukuba.repo.nii.ac.jp/record/39738/files/JDE_261-10.pdf"},"version_id":"13850485-e61f-4c10-a378-bf869a8a54a1"}]},"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":"On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays"}]},"item_type_id":"5","owner":"1","path":["1195","1075"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-11-22"},"publish_date":"2016-11-22","publish_status":"0","recid":"39738","relation_version_is_last":true,"title":["On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:09:57.326168+00:00"}