{"id":"https://openalex.org/W3000654779","doi":"https://doi.org/10.1137/19m1257561","title":"Oscillatory Integrals and Periodic Homogenization of Robin Boundary Value Problems","display_name":"Oscillatory Integrals and Periodic Homogenization of Robin Boundary Value Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3000654779","doi":"https://doi.org/10.1137/19m1257561","mag":"3000654779"},"language":"en","primary_location":{"id":"doi:10.1137/19m1257561","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1257561","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":"http://ir.lzu.edu.cn/handle/262010/405018","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103752132","display_name":"Jun Geng","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]},{"id":"https://openalex.org/I4210152533","display_name":"Lanzhou University of Finance and Economics","ror":"https://ror.org/04v7yv031","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152533"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Jun Geng","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, P.R. China","Department of Mathematics, University of Kentucky, Lexington, Kentucky, 40506, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, P.R. China","institution_ids":["https://openalex.org/I4210152533"]},{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, Kentucky, 40506, USA","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067745875","display_name":"Jinping Zhuge","orcid":"https://orcid.org/0000-0003-2661-4222"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]},{"id":"https://openalex.org/I4210152533","display_name":"Lanzhou University of Finance and Economics","ror":"https://ror.org/04v7yv031","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152533"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Jinping Zhuge","raw_affiliation_strings":["Department of Mathematics, University of Kentucky, Lexington, Kentucky, 40506, USA","School of Mathematics and Statistics, Lanzhou University, Lanzhou, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, Kentucky, 40506, USA","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, P.R. China","institution_ids":["https://openalex.org/I4210152533"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103752132"],"corresponding_institution_ids":["https://openalex.org/I143302722","https://openalex.org/I4210152533"],"apc_list":null,"apc_paid":null,"fwci":0.1445,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.49275266,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"52","issue":"1","first_page":"104","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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":1.0,"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/T11558","display_name":"Composite Material Mechanics","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9075552225112915},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.8493520617485046},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7247616052627563},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6267537474632263},{"id":"https://openalex.org/keywords/robin-boundary-condition","display_name":"Robin boundary condition","score":0.5271306037902832},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48667198419570923},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4769119918346405},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.21990615129470825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11275437474250793}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9075552225112915},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8493520617485046},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7247616052627563},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6267537474632263},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.5271306037902832},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48667198419570923},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4769119918346405},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.21990615129470825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11275437474250793},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/19m1257561","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1257561","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:/ir.lzu.edu.cn/:262010/405018","is_oa":true,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/405018","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University 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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article (JA)"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/438147","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/438147","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University 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":"","raw_type":"\u671f\u520a\u8bba\u6587"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/418076","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/418076","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University 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":"","raw_type":"Article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/431191","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/431191","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University 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":"","raw_type":"\u671f\u520a\u8bba\u6587"}],"best_oa_location":{"id":"pmh:oai:/ir.lzu.edu.cn/:262010/405018","is_oa":true,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/405018","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University 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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article (JA)"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1249714496","display_name":null,"funder_award_id":"11571152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1293460609","display_name":"Harmonic Analysis and Quantitative Homogenization","funder_award_id":"1600520","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2376276132","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G28870017","display_name":null,"funder_award_id":"lzujbky-2017-161","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3693147287","display_name":null,"funder_award_id":"lzujbky-","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3816411031","display_name":null,"funder_award_id":"2017-16","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5616948546","display_name":null,"funder_award_id":"DMS-1600520","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6040639042","display_name":null,"funder_award_id":"lzujbky","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1179699542","https://openalex.org/W1980928855","https://openalex.org/W1997516437","https://openalex.org/W2015354363","https://openalex.org/W2030134333","https://openalex.org/W2059460892","https://openalex.org/W2073701538","https://openalex.org/W2097837019","https://openalex.org/W2111062239","https://openalex.org/W2117523621","https://openalex.org/W2273554358","https://openalex.org/W2488772071","https://openalex.org/W2593787743","https://openalex.org/W2786150624","https://openalex.org/W2962812952","https://openalex.org/W2963395393","https://openalex.org/W2963619617","https://openalex.org/W2964027293","https://openalex.org/W3100059866","https://openalex.org/W3103799612"],"related_works":["https://openalex.org/W2466259161","https://openalex.org/W3136311820","https://openalex.org/W1586418441","https://openalex.org/W1514481392","https://openalex.org/W1975751040","https://openalex.org/W2378263446","https://openalex.org/W2888445389","https://openalex.org/W1987517687","https://openalex.org/W1967691293","https://openalex.org/W2393913967"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"a":[5,13,29],"family":[6],"of":[7,38],"second-order":[8],"elliptic":[9],"systems":[10],"subject":[11],"to":[12,41],"periodically":[14],"oscillating":[15],"Robin":[16],"boundary":[17],"condition.":[18,31],"We":[19,32],"establish":[20],"the":[21,35,43,51],"qualitative":[22],"homogenization":[23],"theorem":[24],"on":[25],"Lipschitz":[26],"domains":[27],"satisfying":[28],"nonresonance":[30],"also":[33],"use":[34],"quantitative":[36],"estimates":[37],"oscillatory":[39],"integrals":[40],"obtain":[42],"dimension-dependent":[44],"convergence":[45],"rates":[46],"in":[47],"$L^2$,":[48],"assuming":[49],"that":[50],"domain":[52],"is":[53],"smooth":[54],"and":[55],"strictly":[56],"convex.":[57]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
