{"id":"https://openalex.org/W2053068479","doi":"https://doi.org/10.1137/s0036141099350869","title":"On the Large Time Behavior of Solutions of Hamilton--Jacobi Equations","display_name":"On the Large Time Behavior of Solutions of Hamilton--Jacobi Equations","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2053068479","doi":"https://doi.org/10.1137/s0036141099350869","mag":"2053068479"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141099350869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099350869","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016430930","display_name":"Guy Barles","orcid":"https://orcid.org/0000-0001-9381-4676"},"institutions":[{"id":"https://openalex.org/I110017253","display_name":"Universit\u00e9 de Tours","ror":"https://ror.org/02wwzvj46","country_code":"FR","type":"education","lineage":["https://openalex.org/I110017253"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G. Barles","raw_affiliation_strings":["Fran\u00e7ois Rabelais University"],"affiliations":[{"raw_affiliation_string":"Fran\u00e7ois Rabelais University","institution_ids":["https://openalex.org/I110017253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066466020","display_name":"Panagiotis E. Souganidis","orcid":"https://orcid.org/0000-0003-2399-0759"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Panagiotis E. Souganidis","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016430930"],"corresponding_institution_ids":["https://openalex.org/I110017253"],"apc_list":null,"apc_paid":null,"fwci":2.3422,"has_fulltext":false,"cited_by_count":136,"citation_normalized_percentile":{"value":0.88412112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"31","issue":"4","first_page":"925","last_page":"939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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":0.9994999766349792,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.8908075094223022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8502401113510132},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7186757326126099},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.6488367319107056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.628264844417572},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5339404940605164},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42776039242744446},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34242725372314453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07815489172935486}],"concepts":[{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.8908075094223022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8502401113510132},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7186757326126099},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.6488367319107056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.628264844417572},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5339404940605164},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42776039242744446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34242725372314453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07815489172935486},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036141099350869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099350869","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:CiteSeerX.psu:10.1.1.47.7110","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.7110","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ceremade.dauphine.fr/reseaux/TMR-viscosite/preprints/016/BarlSoug.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1505284970","https://openalex.org/W1532111732","https://openalex.org/W2018219999","https://openalex.org/W2051631857","https://openalex.org/W2055173039","https://openalex.org/W2072345257","https://openalex.org/W2076319278","https://openalex.org/W2079895693","https://openalex.org/W2169461938","https://openalex.org/W2738211119"],"related_works":["https://openalex.org/W1983345526","https://openalex.org/W2076944689","https://openalex.org/W2061585064","https://openalex.org/W1594944678","https://openalex.org/W1977330547","https://openalex.org/W1487586009","https://openalex.org/W2355233580","https://openalex.org/W2061850819","https://openalex.org/W1974495512","https://openalex.org/W2050488134"],"abstract_inverted_index":{"We":[0,17],"consider":[1],"the":[2,33],"long":[3],"time":[4,24],"behavior":[5],"of":[6,9,32],"viscosity":[7],"solutions":[8,28,31],"first-order":[10],"Hamilton--Jacobi":[11],"equations":[12],"with":[13],"periodic":[14],"space":[15],"dependence.":[16],"prove,":[18],"under":[19],"sharp":[20],"conditions,":[21],"that":[22],"as":[23],"goes":[25],"to":[26,30],"infinity,":[27],"converge":[29],"corresponding":[34],"stationary":[35],"equation.":[36]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}