{"id":"https://openalex.org/W4410605680","doi":"https://doi.org/10.1137/24m1688771","title":"Spectral Galerkin Method for Optimal Control of Stochastic Fractional Laplacian Equations with White Noise on a Disk","display_name":"Spectral Galerkin Method for Optimal Control of Stochastic Fractional Laplacian Equations with White Noise on a Disk","publication_year":2025,"publication_date":"2025-05-22","ids":{"openalex":"https://openalex.org/W4410605680","doi":"https://doi.org/10.1137/24m1688771"},"language":"en","primary_location":{"id":"doi:10.1137/24m1688771","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1688771","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/A5074345572","display_name":"Shengyue Li","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengyue Li","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing 210096, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing 210096, P. R. China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088266796","display_name":"Wanrong Cao","orcid":"https://orcid.org/0000-0001-5742-2472"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanrong Cao","raw_affiliation_strings":["Corresponding author. School of Mathematics, Southeast University, Nanjing 210096, P. R. China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. School of Mathematics, Southeast University, Nanjing 210096, P. R. China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074345572"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.5413,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83793554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"63","issue":"3","first_page":"1852","last_page":"1877"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.8404613733291626},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.7362222671508789},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.701679527759552},{"id":"https://openalex.org/keywords/fractional-laplacian","display_name":"Fractional Laplacian","score":0.5378427505493164},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.49078282713890076},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4859505891799927},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4594936668872833},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44807058572769165},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4431273639202118},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.43393391370773315},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.42688822746276855},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2902368903160095},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12476086616516113},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08772385120391846},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0773991048336029},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07496693730354309}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8404613733291626},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.7362222671508789},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.701679527759552},{"id":"https://openalex.org/C2775913539","wikidata":"https://www.wikidata.org/wiki/Q30694381","display_name":"Fractional Laplacian","level":2,"score":0.5378427505493164},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.49078282713890076},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4859505891799927},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4594936668872833},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44807058572769165},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4431273639202118},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.43393391370773315},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.42688822746276855},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2902368903160095},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12476086616516113},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08772385120391846},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0773991048336029},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07496693730354309},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1688771","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1688771","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/G1736748348","display_name":null,"funder_award_id":"12401516","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2864589926","display_name":null,"funder_award_id":"12071073","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6959142172","display_name":null,"funder_award_id":"BK20230805","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W656368203","https://openalex.org/W1499969990","https://openalex.org/W1506933769","https://openalex.org/W1587029759","https://openalex.org/W1600371943","https://openalex.org/W1601728065","https://openalex.org/W1964027337","https://openalex.org/W1978632040","https://openalex.org/W1978697444","https://openalex.org/W2000811891","https://openalex.org/W2003734192","https://openalex.org/W2014223716","https://openalex.org/W2025689743","https://openalex.org/W2067513555","https://openalex.org/W2068042821","https://openalex.org/W2072045197","https://openalex.org/W2093820071","https://openalex.org/W2094106093","https://openalex.org/W2102591969","https://openalex.org/W2104642800","https://openalex.org/W2139994611","https://openalex.org/W2158845426","https://openalex.org/W2170337217","https://openalex.org/W2172034033","https://openalex.org/W2209059851","https://openalex.org/W2222195018","https://openalex.org/W2395085125","https://openalex.org/W2408347580","https://openalex.org/W2728907612","https://openalex.org/W2744610720","https://openalex.org/W2770316314","https://openalex.org/W2789724561","https://openalex.org/W2790647722","https://openalex.org/W2890224601","https://openalex.org/W2963692341","https://openalex.org/W2963951614","https://openalex.org/W2967605933","https://openalex.org/W2982546823","https://openalex.org/W3045836382","https://openalex.org/W3084022122","https://openalex.org/W3091925968","https://openalex.org/W3105657163","https://openalex.org/W3118381374","https://openalex.org/W3122571973","https://openalex.org/W3123275897","https://openalex.org/W3136590395","https://openalex.org/W3158308233","https://openalex.org/W3184844169","https://openalex.org/W4213025039","https://openalex.org/W4298228534","https://openalex.org/W4379011405","https://openalex.org/W4399607470","https://openalex.org/W4403869808"],"related_works":["https://openalex.org/W1424949506","https://openalex.org/W3102125044","https://openalex.org/W4386148387","https://openalex.org/W4320705263","https://openalex.org/W2545127239","https://openalex.org/W2626698722","https://openalex.org/W2951802580","https://openalex.org/W4288359299","https://openalex.org/W2891216392","https://openalex.org/W4387159293"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2025-10-10T00:00:00"}
