{"id":"https://openalex.org/W1537023606","doi":"https://doi.org/10.3233/asy-131167","title":"The L\u221e-null controllability of parabolic equation with equivalued surface boundary conditions","display_name":"The L\u221e-null controllability of parabolic equation with equivalued surface boundary conditions","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1537023606","doi":"https://doi.org/10.3233/asy-131167","mag":"1537023606"},"language":"en","primary_location":{"id":"doi:10.3233/asy-131167","is_oa":true,"landing_page_url":"https://doi.org/10.3233/asy-131167","pdf_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1167?id=asymptotic-analysis%2Fasy1167","source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1167?id=asymptotic-analysis%2Fasy1167","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002946776","display_name":"Qi L\u00fc","orcid":"https://orcid.org/0000-0001-9420-5055"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["CN","ES"],"is_corresponding":true,"raw_author_name":"Qi L\u00fc","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China and Basque Center for Applied Mathematics, Mazarredo 14, 48009 Bilbao, Basque Country, Spain. E-mail: luqi59@163.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China and Basque Center for Applied Mathematics, Mazarredo 14, 48009 Bilbao, Basque Country, Spain. E-mail: luqi59@163.com","institution_ids":["https://openalex.org/I2802176441","https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072059203","display_name":"Zhongqi Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongqi Yin","raw_affiliation_strings":["Department of Mathematics, Sichuan Normal University, Chengdu 610068, China. E-mail: zhongqiyin@sohu.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sichuan Normal University, Chengdu 610068, China. E-mail: zhongqiyin@sohu.com","institution_ids":["https://openalex.org/I63354593"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002946776"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I2802176441"],"apc_list":null,"apc_paid":null,"fwci":0.5089,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69970235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"83","issue":"4","first_page":"355","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9970999956130981,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9955999851226807,"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/controllability","display_name":"Controllability","score":0.9481569528579712},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.6989195942878723},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6491767168045044},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6346733570098877},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6084316372871399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5599201321601868},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4516637623310089},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3679427206516266},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23095989227294922},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19514495134353638},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12719780206680298},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.084628164768219}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9481569528579712},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.6989195942878723},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6491767168045044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6346733570098877},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6084316372871399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5599201321601868},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4516637623310089},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3679427206516266},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23095989227294922},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19514495134353638},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12719780206680298},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.084628164768219},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-131167","is_oa":true,"landing_page_url":"https://doi.org/10.3233/asy-131167","pdf_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1167?id=asymptotic-analysis%2Fasy1167","source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:bird.bcamath.org:20.500.11824/501","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11824/501","pdf_url":null,"source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.3233/asy-131167","is_oa":true,"landing_page_url":"https://doi.org/10.3233/asy-131167","pdf_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1167?id=asymptotic-analysis%2Fasy1167","source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1615136213","display_name":null,"funder_award_id":"PI2010-04","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G1795743179","display_name":null,"funder_award_id":"FP7-246775","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G3105615095","display_name":"\u65e0\u9650\u7ef4\u63a7\u5236\u7cfb\u7edf\u7684\u6570\u5b66\u7406\u8bba","funder_award_id":"10831007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4767304088","display_name":null,"funder_award_id":"FP7-246775","funder_id":"https://openalex.org/F4320338080","funder_display_name":"European Social Fund"},{"id":"https://openalex.org/G6066355659","display_name":null,"funder_award_id":"PI2010-04","funder_id":"https://openalex.org/F4320338080","funder_display_name":"European Social Fund"},{"id":"https://openalex.org/G6319239443","display_name":null,"funder_award_id":"MTM2008-03541","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8336286142","display_name":null,"funder_award_id":"FP7-246775","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8485530023","display_name":null,"funder_award_id":"PI2010-04","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1537023606.pdf","grobid_xml":"https://content.openalex.org/works/W1537023606.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1505149034","https://openalex.org/W2022977680","https://openalex.org/W2025447499","https://openalex.org/W2084378930","https://openalex.org/W2094803624","https://openalex.org/W2116715073","https://openalex.org/W2142997985","https://openalex.org/W2973258897","https://openalex.org/W4298228534","https://openalex.org/W6600310816"],"related_works":["https://openalex.org/W2051029143","https://openalex.org/W2131379161","https://openalex.org/W2036697162","https://openalex.org/W3185750406","https://openalex.org/W3215273227","https://openalex.org/W2018039518","https://openalex.org/W2580275160","https://openalex.org/W2079322307","https://openalex.org/W4212958269","https://openalex.org/W1480788855"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"obtain":[4],"the":[5,10,25],"L\u221e":[6],"-null":[7],"controllability":[8],"of":[9,27,31,36],"parabolic":[11],"equation":[12],"with":[13,38],"equivalued":[14],"surface":[15],"boundary":[16],"conditions":[17],"in":[18,24],"\u03a9\u00d7[0,T].":[19],"The":[20,41],"control":[21],"is":[22],"supported":[23],"product":[26],"an":[28],"open":[29],"subset":[30,35],"\u03a9":[32],"and":[33],"a":[34],"[0,T]":[37],"positive":[39],"measure.":[40],"ma":[42]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}