{"id":"https://openalex.org/W2069631603","doi":"https://doi.org/10.1137/050637236","title":"Finite Fuel Problem in Nonlinear Singular Stochastic Control","display_name":"Finite Fuel Problem in Nonlinear Singular Stochastic Control","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2069631603","doi":"https://doi.org/10.1137/050637236","mag":"2069631603"},"language":"en","primary_location":{"id":"doi:10.1137/050637236","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050637236","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11577/2450822","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088154397","display_name":"Monica Motta","orcid":"https://orcid.org/0000-0002-5880-818X"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Monica Motta","raw_affiliation_strings":["Dipartimento di Matematica Pura e Applicata, Universit\u00e0 di Padova, Via Trieste, 7-35131 Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Pura e Applicata, Universit\u00e0 di Padova, Via Trieste, 7-35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037555742","display_name":"Caterina Sartori","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Caterina Sartori","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, Via Trieste, 7-35131 Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, Via Trieste, 7-35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088154397"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":null,"apc_paid":null,"fwci":1.6335,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86286757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"4","first_page":"1180","last_page":"1210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.995199978351593,"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":0.995199978351593,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9825000166893005,"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/mathematics","display_name":"Mathematics","score":0.8580859899520874},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.6939045786857605},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6667481064796448},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.6283786296844482},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6080682277679443},{"id":"https://openalex.org/keywords/singular-control","display_name":"Singular control","score":0.5943443179130554},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5810120105743408},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5624105334281921},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5140017867088318},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4913398325443268},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49121636152267456},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.4684230089187622},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45590490102767944},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4139944016933441},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.413754940032959},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.4117180109024048},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39346492290496826},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29799777269363403},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14762631058692932},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07655361294746399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8580859899520874},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.6939045786857605},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6667481064796448},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6283786296844482},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6080682277679443},{"id":"https://openalex.org/C2777984672","wikidata":"https://www.wikidata.org/wiki/Q7524238","display_name":"Singular control","level":3,"score":0.5943443179130554},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5810120105743408},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5624105334281921},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5140017867088318},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4913398325443268},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49121636152267456},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4684230089187622},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45590490102767944},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4139944016933441},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.413754940032959},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.4117180109024048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39346492290496826},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29799777269363403},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14762631058692932},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07655361294746399},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/050637236","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050637236","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/2450822","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/2450822","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.research.unipd.it:11577/2450822","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/2450822","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W152709866","https://openalex.org/W176865736","https://openalex.org/W1494628843","https://openalex.org/W1545370368","https://openalex.org/W1558902221","https://openalex.org/W1573249148","https://openalex.org/W1605799302","https://openalex.org/W1970211772","https://openalex.org/W1984307567","https://openalex.org/W2004328604","https://openalex.org/W2015973428","https://openalex.org/W2032316144","https://openalex.org/W2045766027","https://openalex.org/W2052284267","https://openalex.org/W2054061677","https://openalex.org/W2057463665","https://openalex.org/W2058819565","https://openalex.org/W2059417779","https://openalex.org/W2073596288","https://openalex.org/W2081877251","https://openalex.org/W2083138764","https://openalex.org/W2093441741","https://openalex.org/W2125244837","https://openalex.org/W2141616022","https://openalex.org/W2149081875","https://openalex.org/W2149397974","https://openalex.org/W2178119297","https://openalex.org/W2524415518","https://openalex.org/W2576170905","https://openalex.org/W3121440623"],"related_works":["https://openalex.org/W2766367749","https://openalex.org/W4306892756","https://openalex.org/W4386272992","https://openalex.org/W2751856003","https://openalex.org/W2010559108","https://openalex.org/W575255019","https://openalex.org/W2358967034","https://openalex.org/W2962695587","https://openalex.org/W2754120543","https://openalex.org/W2963548356"],"abstract_inverted_index":{"We":[0,18],"investigate,":[1],"via":[2],"the":[3,21,33,36,40,52,66],"dynamic":[4],"programming":[5],"approach,":[6],"a":[7,44,60,71],"finite":[8],"fuel":[9],"nonlinear":[10],"singular":[11],"stochastic":[12],"control":[13,46],"problem":[14],"of":[15,35,43,54,70,78],"Bolza":[16],"type.":[17,80],"prove":[19,51],"that":[20,28],"associated":[22],"value":[23,41],"function":[24,42],"is":[25,63],"continuous":[26,30,61],"and":[27],"its":[29],"extension":[31,62],"to":[32],"closure":[34],"domain":[37],"coincides":[38],"with":[39,74],"nonsingular":[45],"problem,":[47],"for":[48],"which":[49],"we":[50],"existence":[53],"an":[55],"optimal":[56],"control.":[57],"Moreover,":[58],"such":[59],"characterized":[64],"as":[65],"unique":[67],"viscosity":[68],"solution":[69],"quasi-variational":[72],"inequality":[73],"suitable":[75],"boundary":[76],"conditions":[77],"mixed":[79]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
