{"id":"https://openalex.org/W7158216929","doi":"https://doi.org/10.48550/arxiv.2604.25081","title":"A nonlocal coupled system: analysis and discretization","display_name":"A nonlocal coupled system: analysis and discretization","publication_year":2026,"publication_date":"2026-04-28","ids":{"openalex":"https://openalex.org/W7158216929","doi":"https://doi.org/10.48550/arxiv.2604.25081"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.25081","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.25081","pdf_url":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.25081","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134863509","display_name":"Francisco Bersetche","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bersetche, Francisco","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134875398","display_name":"Enrique Otarola","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Otarola, Enrique","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023756256","display_name":"Daniel Quero","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Quero, Daniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.40149998664855957,"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":0.40149998664855957,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.17110000550746918,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.1216999962925911,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7608000040054321},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.6568999886512756},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6552000045776367},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5357999801635742},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4984999895095825},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48820000886917114},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.47099998593330383},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.460099995136261}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7608000040054321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7483999729156494},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6568999886512756},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6552000045776367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.583299994468689},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5357999801635742},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48820000886917114},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.47099998593330383},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.460099995136261},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4242999851703644},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3723999857902527},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C37608338","wikidata":"https://www.wikidata.org/wiki/Q510733","display_name":"Gronwall's inequality","level":3,"score":0.3382999897003174},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.30799999833106995},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.27559998631477356}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.25081","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.25081","pdf_url":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.25081","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.25081","pdf_url":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8514339327812195,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,75,87],"analyze":[1],"a":[2,33,40,46,77,83],"nonlocal":[3,41],"coupled":[4,38],"system":[5],"arising":[6],"as":[7],"the":[8,53,56,64,95,108,113,116],"Euler--Lagrange":[9],"equations":[10],"of":[11,19,63,115],"an":[12,89],"energy":[13,65],"functional":[14],"involving":[15],"regional":[16],"fractional":[17,72],"Laplacians":[18],"orders":[20],"$s_1$":[21],"and":[22,37,55,61,67,81,97,100,111],"$s_2$":[23],"($":[24],"0":[25],"&lt;":[26,28],"s_1,s_2":[27],"1$),":[29],"each":[30],"acting":[31],"on":[32,45,52],"separate":[34],"disjoint":[35],"domain":[36],"through":[39],"interaction":[42],"term":[43],"depending":[44],"kernel":[47],"$J$.":[48],"Under":[49],"suitable":[50],"assumptions":[51],"domains":[54],"kernel,":[57],"we":[58],"prove":[59,101],"existence":[60],"uniqueness":[62],"minimizer":[66],"derive":[68],"regularity":[69],"estimates":[70],"in":[71],"Sobolev":[73],"spaces.":[74],"introduce":[76],"finite":[78],"element":[79],"discretization":[80],"establish":[82],"priori":[84],"error":[85],"estimates.":[86],"develop":[88],"alternating":[90],"Schwarz-type":[91],"method":[92],"for":[93],"both":[94],"continuous":[96],"discrete":[98],"problems":[99],"its":[102],"geometric":[103],"convergence.":[104],"Numerical":[105],"experiments":[106],"validate":[107],"theoretical":[109],"predictions":[110],"illustrate":[112],"performance":[114],"method.":[117]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-30T00:00:00"}
