{"id":"https://openalex.org/W2083707803","doi":"https://doi.org/10.1093/imamci/dnn010","title":"Gap phenomenon in the homogenization of parabolic optimal control problems","display_name":"Gap phenomenon in the homogenization of parabolic optimal control problems","publication_year":2008,"publication_date":"2008-10-09","ids":{"openalex":"https://openalex.org/W2083707803","doi":"https://doi.org/10.1093/imamci/dnn010","mag":"2083707803"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnn010","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnn010","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5066781554","display_name":"Ciro D\u2019Apice","orcid":"https://orcid.org/0000-0003-3194-3063"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"C. D'Apice","raw_affiliation_strings":["Department of Applied Mathematics, University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017023113","display_name":"Umberto De Maio","orcid":"https://orcid.org/0000-0002-7363-0738"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"U. De Maio","raw_affiliation_strings":["Department of Applied Mathematics, University of Naple \u2018FedericoII\u2019 Complesso Monte S.Angelo, via Cintia, 80126 Napoli, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Naple \u2018FedericoII\u2019 Complesso Monte S.Angelo, via Cintia, 80126 Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070342214","display_name":"Peter I. Kogut","orcid":"https://orcid.org/0000-0003-1593-0510"},"institutions":[{"id":"https://openalex.org/I883679329","display_name":"Oles Honchar Dnipro National University","ror":"https://ror.org/00qk1f078","country_code":"UA","type":"education","lineage":["https://openalex.org/I883679329"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"P. I. Kogut","raw_affiliation_strings":["Department of Differential Equations, Dnipropetrovsk National University, Naukova street, 13, DNU, 49050 Dnipropetrovsk, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of Differential Equations, Dnipropetrovsk National University, Naukova street, 13, DNU, 49050 Dnipropetrovsk, Ukraine","institution_ids":["https://openalex.org/I883679329"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066781554"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.4008,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.6753934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"25","issue":"4","first_page":"461","last_page":"489"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9959999918937683,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9952999949455261,"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/homogenization","display_name":"Homogenization (climate)","score":0.8644721508026123},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.6840968728065491},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.47710615396499634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.366754949092865},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23801755905151367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17535415291786194},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05866500735282898},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.05404028296470642}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8644721508026123},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.6840968728065491},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.47710615396499634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.366754949092865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23801755905151367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17535415291786194},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05866500735282898},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.05404028296470642},{"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/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnn010","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnn010","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W285355986","https://openalex.org/W320338864","https://openalex.org/W656727543","https://openalex.org/W1593038947","https://openalex.org/W1810923916","https://openalex.org/W1975004578","https://openalex.org/W2010554233","https://openalex.org/W2022977680","https://openalex.org/W2024433545","https://openalex.org/W2037092586","https://openalex.org/W2080060053","https://openalex.org/W2163282987","https://openalex.org/W2612312559","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W4300450609","https://openalex.org/W4386931570","https://openalex.org/W2391010541","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W2357367123","https://openalex.org/W4388930439","https://openalex.org/W4249473811","https://openalex.org/W2394422079"],"abstract_inverted_index":{"In":[0],"this":[1,34],"paper,":[2],"we":[3,48],"study":[4],"the":[5,56,65,69,84,93,97],"asymptotic":[6,51],"behaviour":[7],"of":[8,40,59,68],"a":[9,15,28,46],"parabolic":[10],"optimal":[11,71],"control":[12,72,94],"problem":[13,35],"in":[14,83,92],"domain":[16],"\u03a9":[17],"\u03f5":[18,25],"\u2282":[20],",":[21],"whose":[22],"boundary":[23,42,88],"\u2202\u03a9":[24],"contains":[27],"highly":[29],"oscillating":[30],"part.":[31],"We":[32],"consider":[33],"with":[36,53],"two":[37],"different":[38,57,75],"classes":[39],"Dirichlet":[41],"controls,":[43],"and,":[44],"as":[45],"result,":[47],"provide":[49],"its":[50],"analysis":[52],"respect":[54],"to":[55],"topologies":[58],"homogenization.":[60],"It":[61],"is":[62],"shown":[63],"that":[64],"mathematical":[66],"descriptions":[67],"homogenized":[70],"problems":[73],"have":[74],"forms":[76],"and":[77,87,96],"these":[78],"differences":[79],"appear":[80],"not":[81],"only":[82],"state":[85],"equation":[86],"conditions":[89],"but":[90],"also":[91],"constraints":[95],"limit":[98],"cost":[99],"functional.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-03-01T08:55:55.761014","created_date":"2025-10-10T00:00:00"}
