{"created":"2021-03-01T07:15:58.790487+00:00","id":54314,"links":{},"metadata":{"_buckets":{"deposit":"bf2f5d0c-391b-4724-928b-7bb468de8608"},"_deposit":{"id":"54314","owners":[],"pid":{"revision_id":0,"type":"depid","value":"54314"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00054314","sets":["312:6865:8351:8436","9:504:6868:8353:8437"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-07-26","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"199","bibliographicPageStart":"141","bibliographicVolumeNumber":"26","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In a previous paper, the first author considered the variational problems for heteroclinic solutions to the FitzHugh-Nagumo type reaction-diffusion system involving heterogeneity $\\mu(x)$ and proved the existence of the minimizers. However, the precise location of the transition layer of the minimizers was not clear in the paper. \n In this paper, we consider the same problems as the singular perturbation problems. Then we prove that the minimizer has exactly one transition layer near the minimum point of $\\mu(x)$ by using the first order energy expansion. Moreover, we derive the more precise energy asymptotic expansion.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35J50(MSC2010)"},{"subitem_text_value":"35K57(MSC2010)"},{"subitem_text_value":"35B40(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2018-02-20"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics and Information Sciences, Tokyo Metropolitan University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kajiwara, Takashi"}],"nameIdentifiers":[{"nameIdentifier":"161517","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Kurata, Kazuhiro"}],"nameIdentifiers":[{"nameIdentifier":"161518","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-07-27"}],"displaytype":"detail","filename":"jms260201.pdf","filesize":[{"value":"356.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms260201.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/54314/files/jms260201.pdf"},"version_id":"c2f6843d-ee58-4c58-8d1d-7da020ee251d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Variational problem","subitem_subject_scheme":"Other"},{"subitem_subject":"FitzHugh-Nagumo type reaction diffusion systems","subitem_subject_scheme":"Other"},{"subitem_subject":"Heteroclinic solution","subitem_subject_scheme":"Other"},{"subitem_subject":"Singular perturbation problem","subitem_subject_scheme":"Other"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A Singular Perturbation Problem for Heteroclinic Solutions to the FitzHugh-Nagumo Type Reaction-Diffusion System with Heterogeneity","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Singular Perturbation Problem for Heteroclinic Solutions to the FitzHugh-Nagumo Type Reaction-Diffusion System with Heterogeneity"}]},"item_type_id":"4","owner":"1","path":["8436","8437"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-07-27"},"publish_date":"2020-07-27","publish_status":"0","recid":"54314","relation_version_is_last":true,"title":["A Singular Perturbation Problem for Heteroclinic Solutions to the FitzHugh-Nagumo Type Reaction-Diffusion System with Heterogeneity"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:31:51.310299+00:00"}