{"created":"2023-07-27T06:27:06.092524+00:00","id":11105,"links":{},"metadata":{"_buckets":{"deposit":"60103f07-d930-4e5b-b579-496f64938a90"},"_deposit":{"created_by":3,"id":"11105","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"11105"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00011105","sets":["934:935:940"]},"author_link":["17357","17356"],"item_4_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2012-03-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"52","bibliographicPageStart":"37","bibliographicVolumeNumber":"49","bibliographic_titles":[{"bibliographic_title":"Osaka Journal of Mathematics"}]}]},"item_4_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We study the asymptotic stability of nonlinear waves for damped wave equations with a convection term on the half line. In the case where the convection term satisfies the convex and sub-characteristic conditions, it is known by the work of Ueda [7] and Ueda-Nakamura-Kawashima [10] that the solution tends toward a stationary solution. In this paper, we prove that even for a quite wide class of the convection term, such a linear superposition of the stationary solution and the rarefaction wave is asymptotically stable. Moreover, in the case where the solution tends to the non-degenerate stationary wave, we derive that the time convergence rate is polynomially (resp. exponentially) fast if the initial perturbation decays polynomially (resp. exponentially) as x → ∞. Our proofs are based on a technical L 2 weighted energy method.","subitem_description_type":"Abstract"}]},"item_4_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"大阪大学大学院理学研究科 / 大阪市立大学 = Osaka University"}]},"item_4_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AA00765910","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0030-6126","subitem_source_identifier_type":"ISSN"}]},"item_4_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hashimoto, Itsuko"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Ueda, Yoshihiro"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-03"}],"displaytype":"detail","filename":"SC-PR-HASHIMOTO-I-37.pdf","filesize":[{"value":"128.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"SC-PR-HASHIMOTO-I-37.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/11105/files/SC-PR-HASHIMOTO-I-37.pdf"},"version_id":"6a2c3670-e242-4472-9345-f14899490729"}]},"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":"Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line"}]},"item_type_id":"4","owner":"3","path":["940"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-10-03"},"publish_date":"2017-10-03","publish_status":"0","recid":"11105","relation_version_is_last":true,"title":["Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-07-27T09:48:25.214718+00:00"}