{"id":"https://openalex.org/W1503328492","doi":"https://doi.org/10.1155/2012/968760","title":"Some Applications of (C0, 1)\u2010Semigroups","display_name":"Some Applications of (C0, 1)\u2010Semigroups","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1503328492","doi":"https://doi.org/10.1155/2012/968760","mag":"1503328492"},"language":"en","primary_location":{"id":"doi:10.1155/2012/968760","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/968760","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/968760.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/968760.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111429377","display_name":"Yu-Hsien Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I134161618","display_name":"National Taiwan Normal University","ror":"https://ror.org/059dkdx38","country_code":"TW","type":"education","lineage":["https://openalex.org/I134161618"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yu-Hsien Chang","raw_affiliation_strings":["Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677, Taiwan ntnu.edu.tw","Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677, Taiwan ntnu.edu.tw","institution_ids":["https://openalex.org/I134161618"]},{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677","institution_ids":["https://openalex.org/I134161618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111737275","display_name":"Cheng-Hong Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I134161618","display_name":"National Taiwan Normal University","ror":"https://ror.org/059dkdx38","country_code":"TW","type":"education","lineage":["https://openalex.org/I134161618"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Cheng-hong Hong","raw_affiliation_strings":["Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677, Taiwan ntnu.edu.tw","Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677, Taiwan ntnu.edu.tw","institution_ids":["https://openalex.org/I134161618"]},{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677","institution_ids":["https://openalex.org/I134161618"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111737275"],"corresponding_institution_ids":["https://openalex.org/I134161618"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03841132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9966999888420105,"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":0.9966999888420105,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9904000163078308,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/uniqueness","display_name":"Uniqueness","score":0.8080906867980957},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7176627516746521},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6096233129501343},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.5302169919013977},{"id":"https://openalex.org/keywords/interphase","display_name":"Interphase","score":0.5294327735900879},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48065459728240967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4726085960865021},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.46488213539123535},{"id":"https://openalex.org/keywords/transfer","display_name":"Transfer (computing)","score":0.4274854063987732},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4000244736671448},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31761351227760315},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23805198073387146},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.21784347295761108},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19141119718551636},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08611783385276794}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8080906867980957},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7176627516746521},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6096233129501343},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.5302169919013977},{"id":"https://openalex.org/C29452124","wikidata":"https://www.wikidata.org/wiki/Q835950","display_name":"Interphase","level":2,"score":0.5294327735900879},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48065459728240967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4726085960865021},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.46488213539123535},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.4274854063987732},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4000244736671448},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31761351227760315},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23805198073387146},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.21784347295761108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19141119718551636},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08611783385276794},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/968760","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/968760","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/968760.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495122","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495122","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"pmh:oai:doaj.org/article:bb146179508a4a22b45618e5856973f4","is_oa":true,"landing_page_url":"https://doaj.org/article/bb146179508a4a22b45618e5856973f4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/968760","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/968760","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/968760.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1503328492.pdf","grobid_xml":"https://content.openalex.org/works/W1503328492.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1970661708","https://openalex.org/W2009430282","https://openalex.org/W2062656057","https://openalex.org/W2087101748","https://openalex.org/W2135440314","https://openalex.org/W4213359721"],"related_works":["https://openalex.org/W2011286362","https://openalex.org/W4251242566","https://openalex.org/W4309325029","https://openalex.org/W2000623749","https://openalex.org/W2571869920","https://openalex.org/W236998941","https://openalex.org/W2586882807","https://openalex.org/W206957352","https://openalex.org/W571281153","https://openalex.org/W2350924760"],"abstract_inverted_index":{"This":[0],"study":[1],"is":[2,60],"originally":[3],"motivated":[4],"by":[5,45],"the":[6,11,18,35,71,75,82,87],"thermal":[7],"balance":[8],"equations":[9],"for":[10,17,39,74],"gas":[12],"and":[13,37],"solid":[14],"interphase":[15,72],"heat\u2010transfer":[16,73],"fast\u2010igniting":[19,76],"catalytic":[20,77],"converter":[21,78],"of":[22,25,47,79,84,90],"automobiles.":[23],"Instead":[24],"solving":[26],"this":[27],"problem":[28,44],"directly,":[29],"we":[30],"proved":[31],"some":[32,98],"results":[33,63],"concerning":[34],"existence":[36],"uniqueness":[38],"abstract":[40],"semilinear":[41],"initial":[42],"value":[43],"means":[46],"(C0,":[48],"1)\u2010semigroup":[49],"theories":[50],"on":[51],"locally":[52],"convex":[53],"topological":[54],"space.":[55],"The":[56],"most":[57],"enjoyable":[58],"here":[59],"that":[61],"these":[62],"not":[64],"only":[65],"can":[66,94],"be":[67,95],"applied":[68,96],"to":[69,97],"solve":[70],"automobile":[80],"under":[81],"situation":[83],"preheating":[85],"at":[86],"entry":[88],"edge":[89],"converter,":[91],"but":[92],"also":[93],"other":[99],"practical":[100],"problems.":[101]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}
