{"id":"https://openalex.org/W2908812984","doi":"https://doi.org/10.1137/19m1238848","title":"Generalized Multiscale Young Measures","display_name":"Generalized Multiscale Young Measures","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2908812984","doi":"https://doi.org/10.1137/19m1238848","mag":"2908812984"},"language":"en","primary_location":{"id":"doi:10.1137/19m1238848","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1238848","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1901.04755","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010511076","display_name":"Adolfo Arroyo-Rabasa","orcid":"https://orcid.org/0000-0002-8329-1506"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Adolfo Arroyo-Rabasa","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039644722","display_name":"Johannes Diermeier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Johannes Diermeier","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010511076"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01465944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"4","first_page":"3252","last_page":"3300"},"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":0.9984999895095825,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7372528910636902},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6619094014167786},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6590113639831543},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6271931529045105},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6096401214599609},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5483461618423462},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5126182436943054},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5107288360595703},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49097517132759094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3472139239311218},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34549444913864136},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2769942879676819},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16596952080726624},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06813743710517883}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7372528910636902},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6619094014167786},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6590113639831543},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6271931529045105},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6096401214599609},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5483461618423462},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5126182436943054},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5107288360595703},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49097517132759094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3472139239311218},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34549444913864136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2769942879676819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16596952080726624},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06813743710517883},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/19m1238848","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1238848","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:1901.04755","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.04755","pdf_url":"https://arxiv.org/pdf/1901.04755","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2908812984","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.04755.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:arpi.unipi.it:11568/1273813","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1273813","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1901.04755","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.04755","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1901.04755","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.04755","pdf_url":"https://arxiv.org/pdf/1901.04755","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3074452564","display_name":null,"funder_award_id":"BE 5922/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3655418302","display_name":null,"funder_award_id":"CRC 1060","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6852292589","display_name":null,"funder_award_id":"757254","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G7420830130","display_name":"Singularities and Compactness in Nonlinear PDEs","funder_award_id":"757254","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2908812984.pdf","grobid_xml":"https://content.openalex.org/works/W2908812984.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W140204898","https://openalex.org/W1480714962","https://openalex.org/W1513371278","https://openalex.org/W1547249381","https://openalex.org/W1572225368","https://openalex.org/W1662321012","https://openalex.org/W1995904351","https://openalex.org/W2003878476","https://openalex.org/W2004765086","https://openalex.org/W2005585244","https://openalex.org/W2024268858","https://openalex.org/W2027239222","https://openalex.org/W2080284676","https://openalex.org/W2084478435","https://openalex.org/W2093256600","https://openalex.org/W2108893544","https://openalex.org/W2116801612","https://openalex.org/W2126252650","https://openalex.org/W2158796831","https://openalex.org/W2318237205","https://openalex.org/W2321980691","https://openalex.org/W2466563380","https://openalex.org/W2531312576","https://openalex.org/W2579780803","https://openalex.org/W2595348797","https://openalex.org/W2963828465","https://openalex.org/W2964210164","https://openalex.org/W3183315860","https://openalex.org/W4252400669"],"related_works":["https://openalex.org/W2949445737","https://openalex.org/W3104091577","https://openalex.org/W2590563715","https://openalex.org/W1494910816","https://openalex.org/W1989845717","https://openalex.org/W2118739470","https://openalex.org/W3102305672","https://openalex.org/W2963460809","https://openalex.org/W571525828","https://openalex.org/W2421613666","https://openalex.org/W2958968096","https://openalex.org/W2339026534","https://openalex.org/W3100534181","https://openalex.org/W2063337260","https://openalex.org/W2135547464","https://openalex.org/W1526289491","https://openalex.org/W3101686413","https://openalex.org/W3157148085","https://openalex.org/W2100336426"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"devoted":[3],"to":[4,29,109],"the":[5,14,30,59,96,111,115],"construction":[6],"of":[7,16,32,64,69,72,76,84,99,114,118,124],"generalized":[8,33],"multiscale":[9,18,77],"Young":[10,19,34,78],"measures,":[11],"which":[12],"are":[13,55,92],"extension":[15],"Pedregal's":[17],"measures":[20,35,79,125],"[Trans.":[21],"Amer.":[22],"Math.":[23,42],"Soc.,":[24],"358":[25],"(2006),":[26],"pp.":[27,46],"591--602]":[28],"setting":[31],"introduced":[36],"by":[37],"DiPerna":[38],"and":[39,66,89],"Majda":[40],"[Comm.":[41],"Phys.,":[43],"108":[44],"(1987),":[45],"667--689].":[47],"As":[48,102],"a":[49,127],"tool":[50],"for":[51,58],"variational":[52],"problems,":[53],"these":[54],"well-suited":[56],"objects":[57],"study":[60],"(at":[61],"different":[62],"length-scales)":[63],"oscillation":[65],"concentration":[67],"effects":[68],"convergent":[70],"sequences":[71],"measures.":[73],"Important":[74],"properties":[75],"such":[80],"as":[81],"compactness,":[82],"representation":[83],"nonlinear":[85],"compositions,":[86],"localization":[87],"principles,":[88],"differential":[90],"constraints":[91],"extensively":[93],"developed":[94],"in":[95],"second":[97],"part":[98],"this":[100,107],"paper.":[101],"an":[103],"application,":[104],"we":[105],"use":[106],"framework":[108],"address":[110],"$\\Gamma$-limit":[112],"characterization":[113],"homogenized":[116],"limit":[117],"convex":[119],"integrals":[120],"defined":[121],"on":[122],"spaces":[123],"satisfying":[126],"general":[128],"linear":[129],"PDE-constraint.":[130]},"counts_by_year":[],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}