{"created":"2025-06-06T00:34:18.666962+00:00","id":2040700,"links":{},"metadata":{"_buckets":{"deposit":"9358a0c4-dafa-4cb8-91d9-60d344c78913"},"_deposit":{"created_by":83,"id":"2040700","owner":"83","owners":[83],"pid":{"revision_id":0,"type":"depid","value":"2040700"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02040700","sets":["1730444907710"]},"author_link":[],"control_number":"2040700","item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Uniqueness of singular self-similar solutions to the heat equation with exponential nonlinearity","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Naito, Yuki","creatorNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"embargoed access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_f1cf"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s41808-025-00321-y.","subitem_rights_language":"en"},{"subitem_rights":"This is not the published version. Please cite only the published version.","subitem_rights_language":"en"},{"subitem_rights":"この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。","subitem_rights_language":"ja"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"Semilinear heat equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Exponential nonlinearity","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Singular self-similar solution","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Uniqueness","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We show the uniqueness of singular self-similar solutions to the equation ∂_t u = Δu + e ^ u, ｘ∈ R ^ N, t > 0 with N ≥ 3. We also show the convergence of regular self-similar solutions to the singular self-similar solution.","subitem_description_language":"en","subitem_description_type":"Abstract"},{"subitem_description":"The author was supported by JSPS KAKENHI Grant Number 23K03167. This work was also supported by Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer Nature","subitem_publisher_language":"en"}]},"item_1617186660861":{"attribute_name":"Date","attribute_value_mlt":[{"subitem_date_issued_datetime":"2026-02-28","subitem_date_issued_type":"Available"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186901218":{"attribute_name":"Funding Reference","attribute_value_mlt":[{"subitem_award_numbers":{"subitem_award_number":"23K03167","subitem_award_uri":"https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-23K03167/"},"subitem_award_titles":[{"subitem_award_title":"非線形楕円型偏微分方程式の解の特異性と解構造","subitem_award_title_language":"ja"},{"subitem_award_title":"Singularity and structure of solutions to nonlinear elliptic partial differential equations","subitem_award_title_language":"en"}],"subitem_funder_identifiers":{"subitem_funder_identifier_type":"Crossref Funder","subitem_funder_identifier_type_uri":"https://doi.org/10.13039/501100001691"},"subitem_funder_names":[{"subitem_funder_name":"日本学術振興会","subitem_funder_name_language":"ja"},{"subitem_funder_name":"Japan Society for the Promotion of Science","subitem_funder_name_language":"en"}]}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"2296-9020","subitem_source_identifier_type":"ISSN"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2025-02-28","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"none","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS","bibliographic_titleLang":"en"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s41808-025-00321-y","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2026-02-28"}],"fileDate":[{"fileDateType":"Available","fileDateValue":"2026-02-28"}],"filename":"JEPE_〇_〇.pdf","filesize":[{"value":"109 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2040700/files/JEPE_〇_〇.pdf"},"version_id":"06fdaf71-68f8-4b39-912c-99fa50220d3c"}]},"item_1732772494514":{"attribute_name":"備考","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"The full-text file will be made open to the public on [28 Feb 2026］ in accordance with publisher's 'Terms and Conditions for Self-Archiving'"}]},"item_title":"Uniqueness of singular self-similar solutions to the heat equation with exponential nonlinearity","item_type_id":"40036","owner":"83","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2025-06-06"},"publish_date":"2025-06-06","publish_status":"0","recid":"2040700","relation_version_is_last":true,"title":["Uniqueness of singular self-similar solutions to the heat equation with exponential nonlinearity"],"weko_creator_id":"83","weko_shared_id":-1},"updated":"2025-06-12T07:20:02.494603+00:00"}