{"created":"2025-03-25T03:10:09.078474+00:00","id":2001034,"links":{},"metadata":{"_buckets":{"deposit":"7068f93d-5bfd-4882-bdbc-2968860a3649"},"_deposit":{"created_by":9,"id":"2001034","owner":"9","owners":[9],"pid":{"revision_id":0,"type":"depid","value":"2001034"},"status":"published"},"_oai":{"id":"oai:miyazaki-u.repo.nii.ac.jp:02001034","sets":["71","71:24"]},"author_link":["33804"],"item_10001_biblio_info_7":{"attribute_name":"bibliographic_information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2024-07-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"7","bibliographicVolumeNumber":"63","bibliographic_titles":[{"bibliographic_title":"Calculus of Variations and Partial Differential Equations","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin and Colin (Differ Int Equ 17:297–330, 2004) as a model of laser-plasma interactions. We study existence of ground state solutions and the global well-posedness of this system by using the variational methods. We also consider the stability of traveling waves for this system. These problems are proposed by Colin–Colin as the open problems. We give a subset of the ground-states set which satisfies the condition of stability. In particular, we prove the stability of the set of traveling waves with small speed for 1-dimension.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_description_6":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Citation: Hiroyuki Hirayama, Masahiro Ikeda, Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities, Calculus of Variations and Partial Differential Equations, 63(7), 2024-07-10, https://doi.org/10.1007/s00526-024-02782-w","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer Science and Business Media LLC","subitem_publisher_language":"en"}]},"item_10001_relation_14":{"attribute_name":"item_10001_relation_14","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s00526-024-02782-w","subitem_relation_type_select":"DOI"}}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0944-2669","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1432-0835","subitem_source_identifier_type":"EISSN"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"0000000106573887","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"https://isni.org/isni/0000000106573887"}],"affiliationNames":[{"affiliationName":"宮崎大学","affiliationNameLang":"ja"},{"affiliationName":"University of Miyazaki","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"平山, 浩之","creatorNameLang":"ja"},{"creatorName":"ヒラヤマ, ヒロユキ","creatorNameLang":"ja-Kana"},{"creatorName":"Hirayama, Hiroyuki","creatorNameLang":"en"}],"familyNames":[{"familyName":"平山","familyNameLang":"ja"},{"familyName":"ヒラヤマ","familyNameLang":"ja-Kana"},{"familyName":"Hirayama","familyNameLang":"en"}],"givenNames":[{"givenName":"浩之","givenNameLang":"ja"},{"givenName":"ヒロユキ","givenNameLang":"ja-Kana"},{"givenName":"Hiroyuki","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"33804","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"90748328","nameIdentifierScheme":"e-Rad_Researcher","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=90748328"}]},{"creatorNames":[{"creatorName":"Ikeda, Masahiro","creatorNameLang":"en"}],"familyNames":[{"familyName":"Ikeda","familyNameLang":"en"}],"givenNames":[{"givenName":"Masahiro","givenNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2025-03-25"}],"filename":"s00526-024-02782-w.pdf","filesize":[{"value":"502 KB"}],"format":"application/pdf","licensetype":"license_0","mimetype":"application/pdf","url":{"label":"article","objectType":"fulltext","url":"https://miyazaki-u.repo.nii.ac.jp/record/2001034/files/s00526-024-02782-w.pdf"},"version_id":"6d93c56a-ab9c-4955-9db8-6663bbc090f8"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"item_resource_type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"9","path":["71","24"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2025-03-25"},"publish_date":"2025-03-25","publish_status":"0","recid":"2001034","relation_version_is_last":true,"title":["Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities"],"weko_creator_id":"9","weko_shared_id":-1},"updated":"2025-05-11T12:29:51.335926+00:00"}