{“id”:“https://openalex.org/W2113733489“,”doi“:”https://doi.org/10.1287/moor.2013.0602“,”title“:”SPDE的奇异控制和最优停止,以及具有反射的反向SPDE“,”display_name“:”SPDEs的奇异控制与最佳停止,以及带有反射的反向SPDEs“,”publication_year“:2014,”publiation_date“:”2014-05-01“,”ids“:{”openalex“:”https://openalex.org/W2113733489“,”doi“:”https://doi.org/10.1287/moor.2013.0602“,”mag“:”2113733489“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1287/moor.2013.0602“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S55826652“,”display_name“:”运筹学数学“,”issn_l“:”0364-765X“,”isn“:[”0364~765X“,“1526-5471”],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310315699“,”“host_organization_name”:“运筹学与管理科学研究所”,“host_ordanization_lineage”:[“https://openalex.org/P4310315699“],”host_organization_lineage_names“:[”运筹学与管理科学研究所“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:nully,“is_accepted”:false,“is_published”:false},”type“:”preprint“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“]”,“open_access”:{“is_oa”:true,“oa_status”:“green”,“oa_url”:“”https://inria.hal.science/hal-00919136/document(英文)“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5078265147“,”display_name“:”Bernt\u00d8ksendal“,”orcid“:”https://orcid.org/0000-0002-5168-142X},“机构”:[{“id”:https://openalex.org/I184942183“,”display_name“:”奥斯陆大学“,”ror“:”https://ror.org/01xtthb56“,”country_code“:”NO“,”type“:“教育”,”世系“:[”https://openalex.org/I184942183“]}],”国家“:[”NO“],”is_corresponding“:false,”raw_author_name“:”Bernt\u00d8ksendal“,”raw _ afiliation_strings“:[“挪威奥斯陆布林德恩奥斯陆大学数学系数学应用中心(CMA)”],“affiliations”:[{“raw_affiliation_strong”:“数学应用中心,奥斯陆大学数学系,Blindern,N\u20130316 Oslo,Norway“,“institution_ids”:[“https://openalex.org/I184942183“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5017245116“,”display_name“:”Agn\u00e8s Sulem“,”orcid“:”https://orcid.org/0009-0005-3340-1294},“机构”:[{“id”:https://openalex.org/I1326498283“,”display_name“:”法国计算机科学与自动化研究所“,”ror“:”https://ror.org/02kvxyf05“,”country_code“:”FR“,”type“:“政府”,”世系“:[”https://openalex.org/I1326498283“]}],”国家“:[”FR“],”is_corresponding“:false,”raw_author_name“:”Agn\u00e8s Sulem“,”raw _affiliation_strings“:[“INRIA Paris-Rocquencourt,Domaine de Voluceau,Rocquencourte,BP 105,Le Chesnay Cedex,78153,France;和University \u00e9 Paris-Est,F-77455 Marne-la-Vall \u00e 9e”],”从属关系“:[{“raw_affiliation _string”:“INRIA Paris-Rocquencourt,Domaine de Voluceau,Rocquencourte,BP 105,Le Chesnay Cedex,78153,法国;和巴黎大学,F-77455 Marne-la-Vall\u00e9e“,”institution_ids“:[”https://openalex.org/I1326498283“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5018805384“,”display_name“:”Tusheng Zhang“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I28407311“,”display_name“:”曼彻斯特大学“,”ror“:”https://ror.org/027m9bs27“,”country_code“:”GB“,”type“:“教育”,”世系“:[”https://openalex.org/I28407311“]},{”id“:”https://openalex.org/I184942183“,”display_name“:”奥斯陆大学“,”ror“:”https://ror.org/01xtthb56“,”country_code“:”NO“,”type“:“教育”,”世系“:[”https://openalex.org/I184942183“]}],”国家“:[”GB“,”NO“],”is_corresponding“:false,”raw_author_name“:”Tusheng Zhang“,”raw _affiliation_strings“:[“英国曼彻斯特大学数学学院,曼彻斯特M139PL;以及挪威奥斯陆布林德恩奥斯陆大学数学系数学应用中心(CMA)”],“affiliations“:[{”raw_affiliation_string“:”英国曼彻斯特大学数学学院,曼彻斯特M139PL;和挪威奥斯陆布林德恩奥斯陆大学数学系数学应用中心(CMA)“,”institution_ids“:[”https://openalex.org/I28407311","https://openalex.org/I184942183“]}]}],”countries_distinct_count“:3,”institutions_disting_count”:3,“corresponding_author_ids”:[],”correspounding_institution_ids“:[]、”apc_list“:null,”apc_payed“:null,”fwci“:null,”has_fulltext“:true,”fulltext_origin“:”pdf“,”cited_by_count:{“卷”:“39”,“问题”:“2”,“第一页”:“464”,“last_page“:”486“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10067“,”display_name“:”期权定价模型的理论与应用“,”score“:0.9996,”subfield“:{”id“:”https://openalex.org/subfields/2003“,”display_name“:”Finance“},”field“:{”id“:”https://openalex.org/fields/20网站“,”display_name“:”经济学、计量经济学和金融“},”域“:{”id“:”https://openalex.org/domains/2“,”display_name“:”Social Sciences“}},”topics“:[{”id“:”https://openalex.org/T10067“,”“display_name”:“期权定价模型的理论与应用”,“score”:0.9996,“subfield”:{“id”:“https://openalex.org/subfields/2003“,”display_name“:”Finance“},”field“:{”id“:”https://openalex.org/fields/20网站“,”display_name“:”经济学、计量经济学和金融“},”域“:{”id“:”https://openalex.org/domains/2“,”“display_name”:“社会科学”}},{”id“:”https://openalex.org/T11152“,”“display_name”:“交互粒子系统的缩放极限”,“score”:0.9948,“subfield”:{“id”:“https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12100“,”“display_name”:“异构系统的多尺度方法”,“score”:0.9928,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”Physical Sciences“}}],”keywords“:[{”id“:”https://openalex.org/keywords/scaling-limits网站“,”display_name“:”缩放限制“,”score“:0.492049}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.89253366},{”id“:”https://openalex.org/C2777021872,“wikidata”:https://www.wikidata.org/wiki/Q22976830“,”display_name“:”唯一性“,”级别“:2,”分数“:0.720612},{”id“:”https://openalex.org/C91575142,“wikidata”:https://www.wikidata.org/wiki/Q1971426“,”display_name“:”最优控制“,”level“:2,”score“:0.6717827},{”id“:”https://openalex.org/C99414536,“wikidata”:https://www.wikidata.org/wiki/Q7098950“,”display_name“:”最佳停止“,”level“:2,”score“:0.58677536},{”id“:”https://openalex.org/C84629840,“wikidata”:https://www.wikidata.org/wiki/Q16979017“,”display_name“:”随机偏微分方程“,”level“:3,”score“:0.5597827},{”id“:”https://openalex.org/C99888217,“wikidata”:https://www.wikidata.org/wiki/Q1288707“,”display_name“:”停止时间“,”level“:2,”score“:0.5064975},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.50510865},{”id“:”https://openalex.org/C2777984672,“wikidata”:https://www.wikidata.org/wiki/Q7524238“,”display_name“:”单一控件“,”level“:3,”score“:0.49670798},{”id“:”https://openalex.org/C170131372,“wikidata”:https://www.wikidata.org/wiki/Q7617811“,”display_name“:”随机控制“,”level“:3,”score“:0.48111862},{”id“:”https://openalex.org/C93779851,“wikidata”:https://www.wikidata.org/wiki/Q271977“,”display_name“:”偏微分方程“,”level“:2,”score“:0.46428266},{”id“:”https://openalex.org/C135909967,“wikidata”:https://www.wikidata.org/wiki/Q4338245“,”display_name“:”奇异解“,”level“:2,”score“:0.4390668},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.39847663},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.31911767},{”id“:”https://openalex.org/C105795698,“wikidata”:https://www.wikidata.org/wiki/Q12483“,”display_name“:”Statistics“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:4,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1287/摩尔.2013.0602“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S55826652“,”display_name“:”运筹学数学“,”issn_l“:”0364-765X“,”isn“:[”0364~765X“,“1526-5471”],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310315699“,”“host_organization_name”:“运筹学与管理科学研究所”,“host_ordanization_lineage”:[“https://openalex.org/P4310315699“],”host_organization_lineage_names“:[”运筹学与管理科学研究所“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://hal.inia.fr/hal-00919136,“pdf_url”:https://inria.hal.science/hal-00919136/document(英文),“源”:{“id”:https://openalex.org/S4306402512“,”display_name“:”HAL(科学传播中心)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_in_doaj“:false,”host_organization“:”https://openalex.org/I1294671590“,”“host_organization_name”:“法国国家科学研究中心”,“host_ordanization_lineage”:[“https://openalex.org/I1294671590“],”host_organization_lineage_names“:[”法国国家科学研究中心“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://hal.inia.fr/hal-00919136/file/BSPDE.pdf,“pdf_url”:https://hal.inia.fr/hal-00919136/file/BSPDE.pdf,“源”:{“id”:https://openalex.org/S4306402512“,”display_name“:”HAL(科学传播中心)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_in_doaj“:false,”host_organization“:”https://openalex.org/I1294671590“,”“host_organization_name”:“法国国家科学研究中心”,“host_ordanization_lineage”:[“https://openalex.org/I1294671590“],”host_organization_lineage_names“:[”法国国家科学研究中心“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“http://hdl.handle.net/10852/41721,“pdf_url”:https://www.duo.uio.no/bitstream/10852/41721/2/194.BSPDE单一%2c30Sept.2012.pdf,“源”:{“id”:https://openalex.org/S4306401716“,”display_name“:”Duo Research Archive(University of Oslo)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I184942183“,”“host_organization_name”:“奥斯陆大学”,“host_ordanization_lineage”:[“https://openalex.org/I184942183“],”host_organization_lineage_names“:[”奥斯陆大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://hal.inia.fr/hal-00919136,“pdf_url”:https://inria.hal.science/hal-00919136/document(英文),“源”:{“id”:https://openalex.org/S4306402512“,”display_name“:”HAL(科学传播中心)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_in_doaj“:false,”host_organization“:”https://openalex.org/I1294671590“,”“host_organization_name”:“法国国家科学研究中心”,“host_ordanization_lineage”:[“https://openalex.org/I1294671590“],”host_organization_lineage_names“:[”法国国家科学研究中心“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”sustainable_development_goals“:[],”grants“:【】,“datasets”:【】https://openalex.org/W1991808323","https://openalex.org/W2005864397","https://openalex.org/W2019226537","https://openalex.org/W2022796657","https://openalex.org/W2024922075","https://openalex.org/W2032945067","https://openalex.org/W2044804344","https://openalex.org/W2047149928","https://openalex.org/W2060681357","https://openalex.org/W2063518542","https://openalex.org/W2068206136","https://openalex.org/W2077802959","https://openalex.org/W2082245808","https://openalex.org/W2090866533","https://openalex.org/W2139986529","https://openalex.org/W4255499372“],”related_works“:[”https://openalex.org/W4316830005","https://openalex.org/W3126114984","https://openalex.org/W3097642646","https://openalex.org/W2388423988","https://openalex.org/W2379449944","https://openalex.org/W2084541012","https://openalex.org/W2060950178","https://openalex.org/W2022139826","https://openalex.org/W2019095732","https://openalex.org/W2002031424“],”ngrams_url“:”https://api.openalex.org/works/W2113733489/ngrams“,”“abstract_inverted_index”:{“We”:[0,17,84],“consider”:[1],“general”:[2],“singular”:[3,25,54],“control”:[4,26],“problems”:[5],“for”:[6],“random”:%7],“fields”:[8],“给定”:[9],“by”:[10],“a”:[11,34,40,53,59,66,87101],“随机”:[12,67],“partial”:[13],“differential”:[14],“等式”:[15],“(SPDE)。”:[16],“显示”:[18],“该”:[19],“under”:[20],“some”:[21],“条件”:[22],“the”:[23,31,50,98],“optimal”:[24,55,92],“can”:[27],“be”:[28],“identified”:[29],“with”:[30],“solution”:[3],“of”:[33,37,73,75,94],“covered”:[35],“system”:=36],“SPDE”:38,43],“and”:[39,71,91,96],“reflected”:%41],“backward”:[42],“(RBRB SPDE).“:[44],“As”:[45],“an”:[46],“illumination”:[47],“we”:[C8],“apply”:[49,97],“result”:[51,99],“to”:[52100],“收获”:[56],“问题”:[57],“来自”:[58],“人口”:[60],“其”:[61],“密度”:[62],“是”:[63],“建模”:[64],“作为”:[65,79,81],“反应扩散”:[68],“方程”:[69],“存在”:[70],“唯一性”:[72],“解”:[74],“RBSDE”:[76,90],“为”:[77],“已建立”,“:[78],”well“:[80],”comparison“:[82],”定理“:[83],”then“:[85],“建立”:[86],“关系”:[88],“介于”:[89],“停止”:[93103],“SPDEs,”:[95],“风险最小化”:[102],“问题。”:[104]},“cited_by_api_url”:“https://api.openalex.org/works?filter=cites:W2113733489“,”counts_by_year“:[{”年“:2024,”cited_by_count“:1},{”年份“:2023,”cited_by_count”:1},{“年份”:2022,”citecd_by_count“:1},”citesd_by_count“:1},“年”:2020,”citted_by-count“:2},“年份”:2017,“引用_ by_count”:3},{“年份”:2016,“引用_by_counts”:1},}“年份“:2015,”引用_ by-count“:1}],“更新日期”:“2024-06-21T03:50:51312697”,“创建日期”:“2016-06-24”}