{"id":"https://openalex.org/W2963787290","doi":"https://doi.org/10.1137/130910373","title":"Exact Controllability for Stochastic Transport Equations","display_name":"Exact Controllability for Stochastic Transport Equations","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2963787290","doi":"https://doi.org/10.1137/130910373","mag":"2963787290"},"language":"en","primary_location":{"id":"doi:10.1137/130910373","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130910373","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002946776","display_name":"Qi L\u00fc","orcid":"https://orcid.org/0000-0001-9420-5055"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi L\u00fc","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002946776"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":4.102,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.94269069,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"52","issue":"1","first_page":"397","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9976000189781189,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/controllability","display_name":"Controllability","score":0.9792863726615906},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9326521158218384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7918040752410889},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6034319400787354},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5552498698234558},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.538398802280426},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49683550000190735},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.49518051743507385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38837993144989014},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.3243185877799988},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3095155358314514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13402059674263},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06999915838241577}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9792863726615906},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9326521158218384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7918040752410889},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6034319400787354},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5552498698234558},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.538398802280426},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49683550000190735},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.49518051743507385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38837993144989014},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3243185877799988},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3095155358314514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13402059674263},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06999915838241577},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130910373","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130910373","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7968641173","display_name":null,"funder_award_id":"11101070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1571015659","https://openalex.org/W1992304430","https://openalex.org/W2006878562","https://openalex.org/W2012755072","https://openalex.org/W2035338113","https://openalex.org/W2038207172","https://openalex.org/W2041059901","https://openalex.org/W2044104813","https://openalex.org/W2055459591","https://openalex.org/W2055496175","https://openalex.org/W2059855094","https://openalex.org/W2062556312","https://openalex.org/W2065156702","https://openalex.org/W2077899186","https://openalex.org/W2084599003","https://openalex.org/W2109347966","https://openalex.org/W2963605766","https://openalex.org/W2963779061","https://openalex.org/W2963820871","https://openalex.org/W3102103414","https://openalex.org/W3103603339","https://openalex.org/W3139851610"],"related_works":["https://openalex.org/W1986570998","https://openalex.org/W2332386680","https://openalex.org/W1983142522","https://openalex.org/W2782529250","https://openalex.org/W2508171592","https://openalex.org/W2037921533","https://openalex.org/W2801563517","https://openalex.org/W2130864543","https://openalex.org/W2068126039","https://openalex.org/W2041749520"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,20,24,32,38,57,75,83,96],"exact":[4,78],"controllability":[5,42,97],"for":[6,51,99],"stochastic":[7,53,100],"transport":[8,54],"equations":[9],"by":[10,63],"two":[11,86],"controls:":[12],"one":[13],"is":[14,26,61,88],"a":[15,64],"boundary":[16],"control":[17,29],"imposed":[18,30],"on":[19,31],"drift":[21],"term":[22],"and":[23,56],"other":[25],"an":[27,48],"internal":[28],"diffusion":[33],"term.":[34],"By":[35],"means":[36],"of":[37,77,85],"duality":[39],"argument,":[40],"this":[41,93],"problem":[43,50],"can":[44],"be":[45],"reduced":[46],"to":[47],"observability":[49,59],"backward":[52],"equations,":[55],"desired":[58],"estimate":[60],"obtained":[62],"new":[65],"global":[66],"Carleman":[67],"estimate.":[68],"Also,":[69],"we":[70],"present":[71],"some":[72,91],"results":[73],"about":[74],"lack":[76],"controllability,":[79],"which":[80],"show":[81],"that":[82,95],"action":[84],"controls":[87],"necessary.":[89],"To":[90],"extent,":[92],"indicates":[94],"problems":[98],"PDEs":[101],"differ":[102],"from":[103],"their":[104],"deterministic":[105],"counterpart.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
