{"_buckets": {"deposit": "417892c1-4315-4f2b-969f-f2717252b8ee"}, "_deposit": {"id": "40048", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40048"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040048"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011-09-20", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "137", "bibliographicPageStart": "67", "bibliographicVolumeNumber": "18", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "The paper considers nonlinear partial differential equations t\u03b3(\u2202/\u2202t)mu = G(t, x, {(\u2202/\u2202t)j(\u2202/\u2202x)\u03b1u}j\u003cm,|\u03b1|\u2266L) (with \u03b3 \u2267 0 and 1 \u2266 m \u2266 L) in Gevrey classes, and gives a sufficient condition for the following assertion to be valid: if a solution u(t, x) is in C\u221e class with respect to the time variable t and in the Gevrey class E{\u03c3} in the space variable x, then it is in the Gevrey class E{s} also with respect to the time variable for a suitable s. The index s of the time regularity is precisely estimated by the data of the equation. In a particular case, the necessity of the condition is also discussed.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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_subject_15": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "35B65(MSC2010)"}, {"subitem_text_value": "35G20(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2011-01-13"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Department of Information and Communication Sciences, Sophia University"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Tahara, Hidetoshi"}], "nameIdentifiers": [{"nameIdentifier": "92499", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms180104.pdf", "filesize": [{"value": "452.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 452700.0, "url": {"label": "jms180104.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40048/files/jms180104.pdf"}, "version_id": "d8f2b998-7663-41dd-81ff-5fd4e5b60585"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "Gevrey class", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Gevrey regularity", "subitem_subject_scheme": "Other"}, {"subitem_subject": "time regularity", "subitem_subject_scheme": "Other"}, {"subitem_subject": "solution", "subitem_subject_scheme": "Other"}, {"subitem_subject": "nonlinear PDE", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6909/6917", "9/504/6868/6911/6918"], "permalink_uri": "http://hdl.handle.net/2261/52413", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2012-10-22"}, "publish_date": "2012-10-22", "publish_status": "0", "recid": "40048", "relation": {}, "relation_version_is_last": true, "title": ["Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations"], "weko_shared_id": null}