{"id":"https://openalex.org/W169209129","doi":null,"title":"Equations de diffusion param\u00e9tr\u00e9e par la port\u00e9e des interactions \u00e0 longue distance.","display_name":"Equations de diffusion param\u00e9tr\u00e9e par la port\u00e9e des interactions \u00e0 longue distance.","publication_year":2009,"publication_date":"2009-02-24","ids":{"openalex":"https://openalex.org/W169209129","mag":"169209129"},"language":"fr","primary_location":{"id":"pmh:oai:HAL:tel-00365445v2","doi":null,"is_oa":true,"landing_page_url":"https://theses.hal.science/tel-00365445","pdf_url":"https://theses.hal.science/tel-00365445/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Math\u00e9matiques [math]. Universit\u00e9 de Poitiers, 2009. Fran\u00e7ais. &#x27E8;NNT : &#x27E9;","raw_type":"info:eu-repo/semantics/doctoralThesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://theses.hal.science/tel-00365445/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012938294","display_name":"Armel Andami Ovono","orcid":"https://orcid.org/0000-0002-0533-9877","observed_orcids":["https://orcid.org/0000-0002-0533-9877"]},"institutions":[{"id":"https://openalex.org/I4387154170","display_name":"Laboratoire de Math\u00e9matiques et Applications","ror":"https://ror.org/02p2rk609","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4387154170"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Armel Andami Ovono","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Applications"],"raw_orcid":"https://orcid.org/0000-0002-0533-9877","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications","institution_ids":["https://openalex.org/I4387154170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012938294"],"corresponding_institution_ids":["https://openalex.org/I4387154170"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9868000149726868,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9868000149726868,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0034000000450760126,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.002899999963119626,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quasilinear-parabolic-equations","display_name":"quasilinear parabolic equations","score":0.7680000066757202},{"id":"https://openalex.org/keywords/nonlocal-diffusion","display_name":"nonlocal diffusion","score":0.6520000100135803},{"id":"https://openalex.org/keywords/long-range-interactions","display_name":"long-range interactions","score":0.9129999876022339},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.6230000257492065},{"id":"https://openalex.org/keywords/continuous-dependence-on-data","display_name":"continuous dependence on data","score":0.6819999814033508},{"id":"https://openalex.org/keywords/stationary-problem","display_name":"stationary problem","score":0.609000027179718},{"id":"https://openalex.org/keywords/comparison-principle","display_name":"comparison principle","score":0.6209999918937683},{"id":"https://openalex.org/keywords/multiple-solutions","display_name":"multiplicity of solutions","score":0.8550000190734863},{"id":"https://openalex.org/keywords/global-attractor","display_name":"global attractor","score":0.984000027179718},{"id":"https://openalex.org/keywords/moser-iteration","display_name":"Moser iteration","score":0.7570000290870667},{"id":"https://openalex.org/keywords/l-infinity-estimates","display_name":"L-infinity estimates","score":0.8949999809265137}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.7172780632972717},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6358259320259094},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.24034947156906128}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:HAL:tel-00365445v2","doi":null,"is_oa":true,"landing_page_url":"https://theses.hal.science/tel-00365445","pdf_url":"https://theses.hal.science/tel-00365445/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Math\u00e9matiques [math]. Universit\u00e9 de Poitiers, 2009. Fran\u00e7ais. &#x27E8;NNT : &#x27E9;","raw_type":"info:eu-repo/semantics/doctoralThesis"},{"id":"mag:169209129","doi":null,"is_oa":false,"landing_page_url":"https://tel.archives-ouvertes.fr/tel-00365445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:HAL:tel-00365445v2","doi":null,"is_oa":true,"landing_page_url":"https://theses.hal.science/tel-00365445","pdf_url":"https://theses.hal.science/tel-00365445/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Math\u00e9matiques [math]. Universit\u00e9 de Poitiers, 2009. Fran\u00e7ais. &#x27E8;NNT : &#x27E9;","raw_type":"info:eu-repo/semantics/doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W169209129.pdf","grobid_xml":"https://content.openalex.org/works/W169209129.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7018934433","https://openalex.org/W4392220649","https://openalex.org/W563421106","https://openalex.org/W579211488","https://openalex.org/W2084208805","https://openalex.org/W2612938063","https://openalex.org/W15459893","https://openalex.org/W7152515868","https://openalex.org/W1503375143","https://openalex.org/W4392443341"],"abstract_inverted_index":{"Nous":[0,44,83],"nous":[1,62,106,139],"int\u00e9ressons":[2],"dans":[3,12],"cette":[4],"th\u00e8se":[5],"\u00e0":[6,136],"l'\u00e9tude":[7],"d'une":[8],"\u00e9quation":[9],"parabolique":[10],"quasilin\u00e9aire":[11],"laquelle":[13],"la":[14,19,60,145],"diffusion":[15],"est":[16,29,77],"param\u00e9tr\u00e9e":[17],"par":[18,59],"longueur":[20],"des":[21,37,69,153],"diff\u00e9rentes":[22],"interactions":[23],"non":[24],"locales.":[25],"Pour":[26,124],"ce":[27,54],"qui":[28],"du":[30,52,81,99,101],"probl\u00e8me":[31,126],"stationnaire":[32],"associ\u00e9,":[33],"apr\u00e8s":[34,128],"avoir":[35,129],"montr\u00e9":[36,130],"r\u00e9sultats":[38,70],"d'existence,":[39],"d'unicit\u00e9":[40],"et":[41,96,117],"de":[42,67,88,90,92,103,114,118,144,155],"continuit\u00e9.":[43],"pr\u00e9sentons":[45],"ensuite":[46,85],"un":[47,86],"crit\u00e8re":[48,55],"g\u00e9n\u00e9ral":[49],"d'inversibilit\u00e9":[50],"d\u00e9pendant":[51],"param\u00e8tre,":[53],"tr\u00e8s":[56],"important":[57],"va":[58],"suite":[61],"permettre":[63],"en":[64,147],"exemple":[65],"d'application":[66],"retrouver":[68],"d'inversibilit\u00e9s":[71],"d\u00e9j\u00e0":[72],"connus":[73],"lorsque":[74],"le":[75,125],"param\u00e8tre":[76],"\u00e9gale":[78],"au":[79],"diam\u00e8tre":[80],"domaine.":[82],"donnons":[84,107],"r\u00e9sultat":[87],"principe":[89],"comparaison":[91],"solutions":[93],"sym\u00e9triques":[94],"radiales":[95],"une":[97,112,141],"g\u00e9n\u00e9ralisation":[98],"compte":[100],"nombre":[102],"solutions.":[104],"Enfin":[105],"quelques":[108],"applications":[109],"num\u00e9riques":[110],"utilisant":[111,152],"m\u00e9thode":[113],"point":[115],"fixe":[116],"Newton":[119],"pour":[120],"illustrer":[121],"ces":[122],"r\u00e9sultats.":[123],"d'\u00e9volution,":[127],"l'existence":[131],"d'un":[132],"attracteur":[133],"global":[134],"associ\u00e9":[135],"notre":[137],"probl\u00e8me,":[138],"d\u00e9montrons":[140],"estimation":[142],"$L^\\infty$":[143],"solution":[146],"fonction":[148],"d'estimations":[149],"$L^q$,":[150],"$q>1$":[151],"it\u00e9rations":[154],"type":[156],"Moser.":[157]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
