{"created":"2025-02-18T09:41:21.793835+00:00","id":2004405,"links":{},"metadata":{"_buckets":{"deposit":"25c6f973-4fcc-4b3b-9db2-5040af09a97a"},"_deposit":{"created_by":41,"id":"2004405","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2004405"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02004405","sets":["1730444908512:1730444914051"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Bernstein type theorems for some types of parabolic k-Hessian equations","subitem_title_language":"en"},{"subitem_title":"ある種の放物型 k-Hessian 方程式に対する Bernstein 型定理","subitem_title_language":"ja"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"中森, さおり","creatorNameLang":"ja"},{"creatorName":"Nakamori, Saori","creatorNameLang":"en"}],"familyNames":[{"familyName":"中森","familyNameLang":"ja"},{"familyName":"Nakamori","familyNameLang":"en"}],"givenNames":[{"givenName":"さおり","givenNameLang":"ja"},{"givenName":"Saori","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We are concerned with the characterization of entire solutions to the parabolic k-Hessian equation of the form −utFk(D2u) = 1 in Rn ×(−∞, 0]. We prove that for 1 ≤ k ≤ n, any strictly convex-monotone solution u = u(x, t) ∈ C4,2(Rn × (−∞, 0]) to −utFk(D2u) = 1 in Rn × (−∞, 0] must be a linear function of t plus a quadratic polynomial of x, under some growth assumptions on u.","subitem_description_language":"en"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617187087799":{"attribute_name":"Dissertation Number","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第6738号"}]},"item_1617187112279":{"attribute_name":"Degree Name","attribute_value_mlt":[{"subitem_degreename":"博士(理学)","subitem_degreename_language":"ja"},{"subitem_degreename":"Doctor of Science","subitem_degreename_language":"en"}]},"item_1617187136212":{"attribute_name":"Date Granted","attribute_value_mlt":[{"subitem_dategranted":"2015-06-22"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"Saori Nakamori and Kazuhiro Takimoto; Uniqueness of boundary blowup solutions to k-curvature equation; Journal of Mathematical Analysis and Applications, 399 (2013), 496-504. (doi: 10.1016/j.jmaa.2012.10.021)"}],"subitem_relation_type":"references"},{"subitem_relation_name":[{"subitem_relation_name_text":"Saori Nakamori and Kazuhiro Takimoto; A Bernstein type theorem for parabolic k-Hessian equations; Nonlinear Analysis: Theory, Methods & Applications, 117 (2015), 211-220. (doi: 10.1016/j.na.2015.01.010)"}],"subitem_relation_type":"references"},{"subitem_relation_type":"references","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://doi.org/10.1016/j.jmaa.2012.10.021","subitem_relation_type_select":"DOI"}},{"subitem_relation_type":"references","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://doi.org/10.1016/j.na.2015.01.010","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"k6738_3.pdf","filesize":[{"value":"692.4 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2004405/files/k6738_3.pdf"},"version_id":"a5a3d870-da67-46c7-bca9-a3ee87d3ea2a"},{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"k6738_1.pdf","filesize":[{"value":"127.7 KB"}],"mimetype":"application/pdf","url":{"objectType":"abstract","url":"https://hiroshima.repo.nii.ac.jp/record/2004405/files/k6738_1.pdf"},"version_id":"93624197-6605-4817-96cc-e40349e5acc2"},{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"k6738_2.pdf","filesize":[{"value":"111.9 KB"}],"mimetype":"application/pdf","url":{"objectType":"abstract","url":"https://hiroshima.repo.nii.ac.jp/record/2004405/files/k6738_2.pdf"},"version_id":"3ba646ea-936c-49c9-b90a-8c583ee50254"}]},"item_1617944105607":{"attribute_name":"Degree Grantor","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"広島大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"15401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]},{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"Hiroshima University"}]}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"38523"},"item_title":"Bernstein type theorems for some types of parabolic k-Hessian equations","item_type_id":"40003","owner":"41","path":["1730444914051"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2004405","relation_version_is_last":true,"title":["Bernstein type theorems for some types of parabolic k-Hessian equations"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-20T04:49:36.207911+00:00"}