{"id":"https://openalex.org/W4387455374","doi":"https://doi.org/10.1137/22m1503877","title":"Dynamical Systems and Hamilton\u2013Jacobi\u2013Bellman Equations on the Wasserstein Space and their L<sup>2</sup> Representations","display_name":"Dynamical Systems and Hamilton\u2013Jacobi\u2013Bellman Equations on the Wasserstein Space and their L<sup>2</sup> Representations","publication_year":2023,"publication_date":"2023-10-09","ids":{"openalex":"https://openalex.org/W4387455374","doi":"https://doi.org/10.1137/22m1503877"},"language":"en","primary_location":{"id":"doi:10.1137/22m1503877","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1503877","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04301581/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101935277","display_name":"Chlo\u00e9 Jimenez","orcid":"https://orcid.org/0000-0003-1809-2436"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210119023","display_name":"Laboratoire de Math\u00e9matiques de Bretagne Atlantique","ror":"https://ror.org/02ght4n58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2802204017","https://openalex.org/I4210119023","https://openalex.org/I4210141950","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Chlo\u00e9 Jimenez","raw_affiliation_strings":["Univ Brest, CNRS UMR 6205, Laboratoire de Math\u00e9matiques de Bretagne Atlantique, 29200 Brest, France"],"affiliations":[{"raw_affiliation_string":"Univ Brest, CNRS UMR 6205, Laboratoire de Math\u00e9matiques de Bretagne Atlantique, 29200 Brest, France","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I1294671590","https://openalex.org/I4210119023"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089252689","display_name":"Antonio Marigonda","orcid":"https://orcid.org/0000-0003-3242-7474"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Marigonda","raw_affiliation_strings":["Department of Computer Science, University of Verona, I-37134 Verona, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Verona, I-37134 Verona, Italy","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044513568","display_name":"Marc Quincampoix","orcid":"https://orcid.org/0009-0004-4223-2720"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210119023","display_name":"Laboratoire de Math\u00e9matiques de Bretagne Atlantique","ror":"https://ror.org/02ght4n58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2802204017","https://openalex.org/I4210119023","https://openalex.org/I4210141950","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Quincampoix","raw_affiliation_strings":["Univ Brest, CNRS UMR 6205, Laboratoire de Math\u00e9matiques de Bretagne Atlantique, 29200 Brest, France"],"affiliations":[{"raw_affiliation_string":"Univ Brest, CNRS UMR 6205, Laboratoire de Math\u00e9matiques de Bretagne Atlantique, 29200 Brest, France","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I1294671590","https://openalex.org/I4210119023"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101935277"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I161929037","https://openalex.org/I4210119023"],"apc_list":null,"apc_paid":null,"fwci":2.0731,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.86696836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"55","issue":"5","first_page":"5919","last_page":"5966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9700000286102295,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9642999768257141,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.8268177509307861},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5873949527740479},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5559678077697754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4816776216030121},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4542759358882904},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39719539880752563},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3929281532764435},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37803518772125244},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3237677216529846},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25780320167541504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19719693064689636},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1005639135837555}],"concepts":[{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.8268177509307861},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5873949527740479},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5559678077697754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4816776216030121},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4542759358882904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39719539880752563},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3929281532764435},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37803518772125244},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3237677216529846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25780320167541504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19719693064689636},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1005639135837555},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1503877","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1503877","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04301581v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04301581","pdf_url":"https://hal.science/hal-04301581/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2023, 55 (5), pp.5919-5966. &#x27E8;10.1137/22M1503877&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04301581v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04301581","pdf_url":"https://hal.science/hal-04301581/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2023, 55 (5), pp.5919-5966. &#x27E8;10.1137/22M1503877&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2947553778","display_name":null,"funder_award_id":"FA9550-18-1-0254","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4022907568","display_name":null,"funder_award_id":"E55F22000270001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G4024307986","display_name":null,"funder_award_id":"CUP_E55F22000270001","funder_id":"https://openalex.org/F4320333369","funder_display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni"},{"id":"https://openalex.org/G4821329654","display_name":null,"funder_award_id":"GNAMPA","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5332516547","display_name":null,"funder_award_id":"CUP_E55F22000270001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387455374.pdf","grobid_xml":"https://content.openalex.org/works/W4387455374.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W150059431","https://openalex.org/W381133565","https://openalex.org/W586490843","https://openalex.org/W1494380031","https://openalex.org/W1585160083","https://openalex.org/W1611358990","https://openalex.org/W1974139228","https://openalex.org/W1979308690","https://openalex.org/W1997580473","https://openalex.org/W2011000015","https://openalex.org/W2027256113","https://openalex.org/W2038686546","https://openalex.org/W2040488976","https://openalex.org/W2041700247","https://openalex.org/W2042391547","https://openalex.org/W2076124700","https://openalex.org/W2076634527","https://openalex.org/W2144996858","https://openalex.org/W2148316915","https://openalex.org/W2171564854","https://openalex.org/W2314819428","https://openalex.org/W2748990245","https://openalex.org/W2769493840","https://openalex.org/W2770546341","https://openalex.org/W2890240028","https://openalex.org/W2898624551","https://openalex.org/W2948110959","https://openalex.org/W2964030708","https://openalex.org/W2974886567","https://openalex.org/W3010134681","https://openalex.org/W3012550932","https://openalex.org/W3087849500","https://openalex.org/W3098495712","https://openalex.org/W3098823650","https://openalex.org/W3104982899","https://openalex.org/W3139126671","https://openalex.org/W3164038962","https://openalex.org/W3170764270","https://openalex.org/W3172196307","https://openalex.org/W3214163754","https://openalex.org/W4233762729"],"related_works":["https://openalex.org/W4200506717","https://openalex.org/W2029860844","https://openalex.org/W2720912673","https://openalex.org/W2364831476","https://openalex.org/W2069283604","https://openalex.org/W2043759256","https://openalex.org/W1594944678","https://openalex.org/W575199273","https://openalex.org/W1979702477","https://openalex.org/W2963431216"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}