{"created":"2023-06-20T12:59:55.173646+00:00","id":3992,"links":{},"metadata":{"_buckets":{"deposit":"2d5c99d7-c5b1-4e43-a929-203a03c80497"},"_deposit":{"created_by":2,"id":"3992","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"3992"},"status":"published"},"_oai":{"id":"oai:fun.repo.nii.ac.jp:00003992","sets":["22:28","25:81:100"]},"author_link":["35"],"item_5_biblio_info_5":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1995","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"661","bibliographicPageStart":"647","bibliographicVolumeNumber":"8","bibliographic_titles":[{"bibliographic_title":"Differential and Integral Equations"}]}]},"item_5_description_3":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"本論文では「Blow-up for nonlinear wave equations with slowly decaying data」と「Nonexistence of global solutions of semilinear wave equations」の論文であられた２つの結果を、高次元波動方程式の球対称解の表示と特殊関数のゼロ点を解析することにより、全次元へ拡張することに成功した。更にそれぞれの方程式における臨界減衰は、次元ではなく方程式のスケール変換に対する不変性に依存することを示し、初期値の臨界減衰に関する一連の問題を完全に解決した。これはソボレフ空間で非線形波動方程式を解く際、関数空間を決定する指針を与えるものである。","subitem_description_type":"Abstract"}]},"item_5_description_4":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"学術論文","subitem_description_type":"Other"}]},"item_5_select_10":{"attribute_name":"単著共著","attribute_value_mlt":[{"subitem_select_item":"単著/solo"}]},"item_5_select_8":{"attribute_name":"査読有無","attribute_value_mlt":[{"subitem_select_item":"あり/yes"}]},"item_5_select_9":{"attribute_name":"研究業績種別","attribute_value_mlt":[{"subitem_select_item":"原著論文/Original Paper"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"高村, 博之","creatorNameLang":"ja"}],"familyNames":[{"familyName":"高村","familyNameLang":"ja"}],"givenNames":[{"givenName":"博之","givenNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"35","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"40241781","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=40241781"}]}]},"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":"Blow-up for semilinear wave equations with slowly decaying data in high dimensions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Blow-up for semilinear wave equations with slowly decaying data in high dimensions"}]},"item_type_id":"5","owner":"2","path":["28","100"],"pubdate":{"attribute_name":"公開日","attribute_value":"2010-11-26"},"publish_date":"2010-11-26","publish_status":"0","recid":"3992","relation_version_is_last":true,"title":["Blow-up for semilinear wave equations with slowly decaying data in high dimensions"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2025-02-07T03:30:04.734447+00:00"}