{"_buckets": {"deposit": "f24d31e0-0048-4a5b-a07f-c3045da75391"}, "_deposit": {"id": "40027", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40027"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040027"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2012-06-20", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "68", "bibliographicPageStart": "57", "bibliographicVolumeNumber": "19", "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": "This paper is concerned with the well-posedness, especially with the continuity of the solution map of the nonlinear Schr\u00f6dinger equation i\u2202tu + \u0394u = f(u), u(x, 0) = \u03c6(x) on R(n+1). Here, f(u) = c0|u|\u03c3u, c0 \u2208 C and \u03c3 \u003e 0. If 1 \u003c s \u003c min(n/2, 2) and 0 \u003c \u03c3 \u003c 4/(n - 2s), the solution map \u03c6|\u2192 u is continuous as a map from Hs to C([0, T], Hs) for some T \u003e 0. The proof is based on the estimates in the fractional order Besov spaces both for time and space variables.", "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": "35Q55(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2011-11-17"}]}, "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 Mathematics, Faculty of Engineering, Kumamoto University"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Uchizono, Harunori"}], "nameIdentifiers": [{"nameIdentifier": "92470", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Wada, Takeshi"}], "nameIdentifiers": [{"nameIdentifier": "92471", "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": "jms190102.pdf", "filesize": [{"value": "138.4 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 138400.0, "url": {"label": "jms190102.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40027/files/jms190102.pdf"}, "version_id": "1e2f9640-1dc3-431f-857d-ee8a33502201"}]}, "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": "Continuous Dependence for Nonlinear Schr\u00f6dinger Equation in Hs", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Continuous Dependence for Nonlinear Schr\u00f6dinger Equation in Hs"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6899/6907", "9/504/6868/6901/6908"], "permalink_uri": "http://hdl.handle.net/2261/54909", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2013-06-19"}, "publish_date": "2013-06-19", "publish_status": "0", "recid": "40027", "relation": {}, "relation_version_is_last": true, "title": ["Continuous Dependence for Nonlinear Schr\u00f6dinger Equation in Hs"], "weko_shared_id": null}