{"id":"https://openalex.org/W2607034066","doi":"https://doi.org/10.1080/00207179.2018.1508849","title":"Existence of optimal controls for SPDE with locally monotone coefficients","display_name":"Existence of optimal controls for SPDE with locally monotone coefficients","publication_year":2018,"publication_date":"2018-08-07","ids":{"openalex":"https://openalex.org/W2607034066","doi":"https://doi.org/10.1080/00207179.2018.1508849","mag":"2607034066"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2018.1508849","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1508849","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1704.04077","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064548340","display_name":"Edson A. Coayla\u2010Teran","orcid":"https://orcid.org/0000-0002-6329-4929"},"institutions":[{"id":"https://openalex.org/I126158947","display_name":"Universidade Federal da Bahia","ror":"https://ror.org/03k3p7647","country_code":"BR","type":"education","lineage":["https://openalex.org/I126158947"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Edson A. Coayla-Teran","raw_affiliation_strings":["Av. Ademar de Barros s/n, Instituto de Matem\u00e1tica, Universidade Federal da Bahia, Salvador, BA, Brazil"],"affiliations":[{"raw_affiliation_string":"Av. Ademar de Barros s/n, Instituto de Matem\u00e1tica, Universidade Federal da Bahia, Salvador, BA, Brazil","institution_ids":["https://openalex.org/I126158947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006630239","display_name":"Paulo M. Dias de Magalh\u00e3es","orcid":null},"institutions":[{"id":"https://openalex.org/I10824318","display_name":"Universidade Federal de Ouro Preto","ror":"https://ror.org/056s65p46","country_code":"BR","type":"education","lineage":["https://openalex.org/I10824318"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Paulo M. Dias de Magalh\u00e3es","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Federal de Ouro Preto, Ouro Preto, MG, Brazil","Departamento de Matem\u00e1tica; Universidade Federal de Ouro Preto; Ouro Preto MG Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Federal de Ouro Preto, Ouro Preto, MG, Brazil","institution_ids":["https://openalex.org/I10824318"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica; Universidade Federal de Ouro Preto; Ouro Preto MG Brazil","institution_ids":["https://openalex.org/I10824318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101526793","display_name":"Jorge Ferreira","orcid":"https://orcid.org/0000-0002-3209-7439"},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jorge Ferreira","raw_affiliation_strings":["Departamento de Ci\u00eancias Exatas, Universidade Federal Fluminense, Volta Redonda, RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Ci\u00eancias Exatas, Universidade Federal Fluminense, Volta Redonda, RJ, Brazil","institution_ids":["https://openalex.org/I161127581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064548340"],"corresponding_institution_ids":["https://openalex.org/I126158947"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01236559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"6","first_page":"1362","last_page":"1370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8481340408325195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8138420581817627},{"id":"https://openalex.org/keywords/quantum-stochastic-calculus","display_name":"Quantum stochastic calculus","score":0.6114476919174194},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5972374677658081},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5730730295181274},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5609402656555176},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5213926434516907},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5042370557785034},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5009663105010986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4656228721141815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.450822114944458},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20308494567871094}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8481340408325195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8138420581817627},{"id":"https://openalex.org/C16672771","wikidata":"https://www.wikidata.org/wiki/Q17105426","display_name":"Quantum stochastic calculus","level":5,"score":0.6114476919174194},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5972374677658081},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5730730295181274},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5609402656555176},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5213926434516907},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5042370557785034},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5009663105010986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4656228721141815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.450822114944458},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20308494567871094},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.0},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207179.2018.1508849","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1508849","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.04077","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.04077","pdf_url":"https://arxiv.org/pdf/1704.04077","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2607034066","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1704.04077.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1704.04077","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1704.04077","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1704.04077","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.04077","pdf_url":"https://arxiv.org/pdf/1704.04077","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2607034066.pdf","grobid_xml":"https://content.openalex.org/works/W2607034066.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W609699901","https://openalex.org/W1507895147","https://openalex.org/W1631291176","https://openalex.org/W2008682230","https://openalex.org/W2047942341","https://openalex.org/W2058240400","https://openalex.org/W2058901392","https://openalex.org/W2072421274","https://openalex.org/W2074515356","https://openalex.org/W2081436513","https://openalex.org/W2097712950","https://openalex.org/W2134041353","https://openalex.org/W2612326543","https://openalex.org/W2799664482","https://openalex.org/W4238538572","https://openalex.org/W4251401614","https://openalex.org/W4300475775"],"related_works":["https://openalex.org/W2963231429","https://openalex.org/W3155726527","https://openalex.org/W2979872649","https://openalex.org/W2978060790","https://openalex.org/W3044435673","https://openalex.org/W2962819333","https://openalex.org/W2949268241","https://openalex.org/W2094599055","https://openalex.org/W3183585616","https://openalex.org/W2903960244","https://openalex.org/W2043014001","https://openalex.org/W2963492772","https://openalex.org/W3119768299","https://openalex.org/W2911791771","https://openalex.org/W2537612821","https://openalex.org/W1569437656","https://openalex.org/W2097849894","https://openalex.org/W2274345110","https://openalex.org/W61742712","https://openalex.org/W130888288"],"abstract_inverted_index":{"The":[0,58],"aim":[1],"of":[2,10,42,48,72,78],"this":[3],"paper":[4,64],"is":[5],"to":[6,51,68,75,101,112],"investigate":[7],"the":[8,40,46,52,62,70,99,107],"existence":[9,47,71],"optimal":[11,49,73],"controls":[12,50,74],"for":[13],"systems":[14],"described":[15],"by":[16,27],"stochastic":[17,53,84,88,108,114],"partial":[18],"differential":[19],"equations":[20,90],"(SPDEs)":[21],"with":[22],"locally":[23,93],"monotone":[24,94,103],"coefficients":[25],"controlled":[26,79],"external":[28],"forces":[29],"which":[30,91],"are":[31,92],"feedback":[32],"controls.":[33],"To":[34],"attain":[35],"our":[36],"objective":[37],"we":[38,96],"adapt":[39],"argument":[41],"Lisei":[43],"(2002)":[44],"where":[45],"Navier\u2013Stokes":[54],"equation":[55,86,104,110],"was":[56],"studied.":[57],"results":[59],"obtained":[60],"in":[61],"present":[63],"may":[65],"be":[66],"applied":[67],"demonstrate":[69],"various":[76],"types":[77],"SPDEs":[80],"such":[81,105],"as:":[82],"a":[83,102,113],"nonlocal":[85],"and":[87,111],"semilinear":[89],"equations;":[95],"also":[97],"apply":[98],"result":[100],"as":[106],"reaction\u2013diffusion":[109],"linear":[115],"equation.":[116]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
