{"id":"https://openalex.org/W4391592305","doi":"https://doi.org/10.1137/22m1537680","title":"Exact Controllability for a Refined Stochastic Wave Equation","display_name":"Exact Controllability for a Refined Stochastic Wave Equation","publication_year":2024,"publication_date":"2024-02-07","ids":{"openalex":"https://openalex.org/W4391592305","doi":"https://doi.org/10.1137/22m1537680"},"language":"en","primary_location":{"id":"doi:10.1137/22m1537680","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1537680","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/A5078616711","display_name":"Zhonghua Liao","orcid":"https://orcid.org/0000-0002-4917-4111"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhonghua Liao","raw_affiliation_strings":["School of Mathematics, Sichuan University, Chengdu, 610064, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Sichuan University, Chengdu, 610064, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002946776","display_name":"Qi L\u00fc","orcid":"https://orcid.org/0000-0001-9420-5055"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi L\u00fc","raw_affiliation_strings":["School of Mathematics, Sichuan University, Chengdu, 610064, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Sichuan University, Chengdu, 610064, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002946776"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":0.5722,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63026499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"62","issue":"1","first_page":"563","last_page":"580"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9918000102043152,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9900000095367432,"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":0.9348233938217163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8322210311889648},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6598075032234192},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.6038024425506592},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5656077861785889},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5407133102416992},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5256232619285583},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.4992661476135254},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4837169945240021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.435563862323761},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.42221611738204956},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2504930794239044},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.24761325120925903},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23191699385643005}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9348233938217163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8322210311889648},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6598075032234192},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.6038024425506592},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5656077861785889},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5407133102416992},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5256232619285583},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.4992661476135254},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4837169945240021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.435563862323761},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.42221611738204956},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2504930794239044},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.24761325120925903},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23191699385643005},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1537680","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1537680","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/G2540168207","display_name":null,"funder_award_id":"2020SCUNL201","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"},{"id":"https://openalex.org/G6339432840","display_name":null,"funder_award_id":"11971333","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7538126418","display_name":null,"funder_award_id":"11931011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322990","display_name":"Sichuan University","ror":"https://ror.org/011ashp19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1248197218","https://openalex.org/W1277962881","https://openalex.org/W1571015659","https://openalex.org/W1966405859","https://openalex.org/W1992304430","https://openalex.org/W2009127884","https://openalex.org/W2031521898","https://openalex.org/W2066096538","https://openalex.org/W2084599003","https://openalex.org/W2604614347","https://openalex.org/W2963787290","https://openalex.org/W2963820871","https://openalex.org/W2981443388","https://openalex.org/W2999837791","https://openalex.org/W3217716227","https://openalex.org/W4281729251","https://openalex.org/W4300023393","https://openalex.org/W4301396462"],"related_works":["https://openalex.org/W1987632710","https://openalex.org/W2534004512","https://openalex.org/W4225370548","https://openalex.org/W2142934230","https://openalex.org/W2963640567","https://openalex.org/W3112430022","https://openalex.org/W2580841121","https://openalex.org/W4312459587","https://openalex.org/W4221157703","https://openalex.org/W4394645598"],"abstract_inverted_index":{".In":[0],"this":[1,53],"paper,":[2],"we":[3,68],"obtain":[4],"the":[5,30,50,61,64,73,90,97,106],"exact":[6],"controllability":[7],"for":[8,23,41,80],"a":[9,19,24],"refined":[10],"stochastic":[11],"wave":[12,111],"equation":[13],"with":[14,29],"three":[15],"controls":[16,70],"by":[17],"establishing":[18],"novel":[20],"Carleman":[21],"estimate":[22],"backward":[25],"hyperbolic-like":[26],"operator.":[27],"Compared":[28],"known":[31],"result":[32],"[Q.":[33],"L\u00fc":[34],"and":[35,102],"X":[36],"Zhang,":[37],"Mathematical":[38],"Control":[39],"Theory":[40],"Stochastic":[42],"Partial":[43],"Differential":[44],"Equations,":[45],"Springer,":[46],"Cham,":[47],"Switzerland,":[48],"2021],":[49],"novelty":[51],"of":[52,89,99,105,108],"paper":[54],"is":[55,77,94,103],"twofold:":[56],"(1)":[57],"Our":[58],"model":[59],"contains":[60],"effects":[62],"in":[63,72,96],"drift":[65],"terms":[66],"when":[67],"put":[69],"directly":[71],"diffusion":[74],"terms,":[75],"which":[76,93],"more":[78],"sensible":[79],"practical":[81],"applications;":[82],"(2)":[83],"We":[84],"provide":[85],"an":[86],"explicit":[87],"description":[88],"waiting":[91],"time":[92],"sharp":[95],"case":[98],"dimension":[100],"one":[101],"independent":[104],"coefficents":[107],"lower":[109],"terms.Keywordsstochastic":[110],"equationexact":[112],"controllabilityCarleman":[113],"estimateMSC":[114],"codes93B0593B07":[115]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}