{"id":"https://openalex.org/W4406735152","doi":"https://doi.org/10.1137/25m1743259","title":"An Analysis of the Entire Functions Associated with the Operator of the KdV Equation","display_name":"An Analysis of the Entire Functions Associated with the Operator of the KdV Equation","publication_year":2026,"publication_date":"2026-05-04","ids":{"openalex":"https://openalex.org/W4406735152","doi":"https://doi.org/10.1137/25m1743259"},"language":"en","primary_location":{"id":"doi:10.1137/25m1743259","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1743259","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":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2501.12049","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112327941","display_name":"Roberto de Almeida Capistrano Filho","orcid":null},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Roberto de Almeida Capistrano-Filho","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Federal de Pernambuco, S/N Cidade Universit\u00e1ria, 50740-545 Recife, (PE), Brazil","Departamento de Matematica, Universidade Federal de Pernambuco (Brazil)"],"raw_orcid":"https://orcid.org/0000-0002-1608-1832","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Federal de Pernambuco, S/N Cidade Universit\u00e1ria, 50740-545 Recife, (PE), Brazil","institution_ids":["https://openalex.org/I25112270"]},{"raw_affiliation_string":"Departamento de Matematica, Universidade Federal de Pernambuco (Brazil)","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060673452","display_name":"Hugo Parada","orcid":"https://orcid.org/0000-0003-4121-2934"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hugo Parada","raw_affiliation_strings":["Universit\u00e9 Paul Sabatier, Institut de Math\u00e9matiques de Toulouse, 118 Route de Narbonne, 31062 Toulouse, France","IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paul Sabatier, Institut de Math\u00e9matiques de Toulouse, 118 Route de Narbonne, 31062 Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I4210098964"]},{"raw_affiliation_string":"IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","institution_ids":["https://openalex.org/I84500057","https://openalex.org/I134560555","https://openalex.org/I196454796"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047566705","display_name":"Jorge Vicente Lopes da Silva","orcid":"https://orcid.org/0000-0002-2347-5215"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jandeilson Santos da Silva","raw_affiliation_strings":["Corresponding author. Departamento de Matem\u00e1tica, Universidade Federal de Pernambuco, S/N Cidade Universit\u00e1ria, 50740-545 Recife, (PE), Brazil","Departamento de Matematica, Universidade Federal de Pernambuco (Brazil)"],"raw_orcid":"https://orcid.org/0000-0001-5743-3016","affiliations":[{"raw_affiliation_string":"Corresponding author. Departamento de Matem\u00e1tica, Universidade Federal de Pernambuco, S/N Cidade Universit\u00e1ria, 50740-545 Recife, (PE), Brazil","institution_ids":["https://openalex.org/I25112270"]},{"raw_affiliation_string":"Departamento de Matematica, Universidade Federal de Pernambuco (Brazil)","institution_ids":["https://openalex.org/I25112270"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07118511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"3","first_page":"2067","last_page":"2110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9753999710083008,"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"}},"topics":[{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9753999710083008,"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"}},{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions","score":0.9656999707221985,"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":0.929099977016449,"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/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.860538899898529},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.688594400882721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4713805615901947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4019395112991333},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37572571635246277},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37017202377319336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3403639793395996},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3389999270439148},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24037578701972961},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09692797064781189},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07754123210906982}],"concepts":[{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.860538899898529},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.688594400882721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4713805615901947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4019395112991333},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37572571635246277},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37017202377319336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3403639793395996},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3389999270439148},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24037578701972961},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09692797064781189},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07754123210906982},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/25m1743259","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1743259","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:arXiv.org:2501.12049","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.12049","pdf_url":"https://arxiv.org/pdf/2501.12049","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04904113v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04904113","pdf_url":"https://hal.science/hal-04904113v1/file/CF_-_Parada_-_Santos_Observation_KdV_MixedConditions.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2025","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2501.12049","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.12049","pdf_url":"https://arxiv.org/pdf/2501.12049","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G247168254","display_name":null,"funder_award_id":"421573/2023-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2823776494","display_name":null,"funder_award_id":"88887","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3129623590","display_name":null,"funder_award_id":"301744/2025-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3713208487","display_name":null,"funder_award_id":"307808/2021-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4643022693","display_name":null,"funder_award_id":"ANR-11-LABX-0040","funder_id":"https://openalex.org/F4320335230","funder_display_name":"Centre International de Math\u00e9matiques et Informatique de Toulouse"},{"id":"https://openalex.org/G7786692064","display_name":"Centre International de Math\u00e9matiques et d'Informatique (de Toulouse)","funder_award_id":"ANR-11-LABX-0040","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320324901","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24"},{"id":"https://openalex.org/F4320335230","display_name":"Centre International de Math\u00e9matiques et Informatique de Toulouse","ror":"https://ror.org/017tgbk05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406735152.pdf","grobid_xml":"https://content.openalex.org/works/W4406735152.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2027202866","https://openalex.org/W3149920197","https://openalex.org/W4293569346","https://openalex.org/W2397056152","https://openalex.org/W2494658963","https://openalex.org/W4252904065","https://openalex.org/W3017235236","https://openalex.org/W2949885877","https://openalex.org/W2129544565","https://openalex.org/W2024710114"],"abstract_inverted_index":{"It":[0],"is":[1,13],"well":[2],"known":[3],"that":[4,50],"the":[5,17,24,36,52,55,87],"controllability":[6,53],"property":[7],"of":[8,19,47,54,89],"partial":[9],"differential":[10],"equations":[11],"(PDEs)":[12],"closely":[14],"linked":[15],"to":[16,65],"proof":[18],"an":[20],"observability":[21],"inequality":[22],"for":[23],"adjoint":[25],"system,":[26],"which,":[27],"sometimes,":[28],"involves":[29],"analyzing":[30],"a":[31,45,90],"spectral":[32,48,73],"problem":[33],"associated":[34,70],"with":[35,71],"PDE":[37],"under":[38],"consideration.":[39],"In":[40],"this":[41,72,83],"work,":[42],"we":[43],"study":[44],"series":[46],"issues":[49],"ensure":[51],"renowned":[56],"Korteweg-de":[57],"Vries":[58],"equation":[59],"on":[60],"star-graph.":[61],"This":[62],"investigation":[63],"reduces":[64],"determining":[66],"when":[67],"certain":[68],"functions,":[69],"problem,":[74],"are":[75],"entire.":[76],"The":[77],"novelty":[78],"here":[79],"lies":[80],"in":[81,86],"presenting":[82],"detailed":[84],"analysis":[85],"context":[88],"star":[91],"graph":[92],"structure.":[93]},"counts_by_year":[],"updated_date":"2026-07-04T07:58:01.006859","created_date":"2025-01-23T00:00:00"}
