{"id":"https://openalex.org/W4295855891","doi":"https://doi.org/10.23919/acc53348.2022.9867749","title":"Boundary Control of Semilinear Parabolic Equations with Non-Smooth Point-wise-Integral Control Constraints in Time-Space","display_name":"Boundary Control of Semilinear Parabolic Equations with Non-Smooth Point-wise-Integral Control Constraints in Time-Space","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W4295855891","doi":"https://doi.org/10.23919/acc53348.2022.9867749"},"language":"en","primary_location":{"id":"doi:10.23919/acc53348.2022.9867749","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867749","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","raw_type":"proceedings-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/A5067757319","display_name":"Eduardo Casas","orcid":"https://orcid.org/0000-0002-8364-9416"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Eduardo Casas","raw_affiliation_strings":["Universidad de Cantabria,E.T.S.I. Industriales y de Telecomunicaci&#x00F3;n,Departamento de Matem&#x00E1;tica Aplicada y Ciencias de la Computaci&#x00F3;n,Santander,Spain,39005"],"affiliations":[{"raw_affiliation_string":"Universidad de Cantabria,E.T.S.I. Industriales y de Telecomunicaci&#x00F3;n,Departamento de Matem&#x00E1;tica Aplicada y Ciencias de la Computaci&#x00F3;n,Santander,Spain,39005","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Karl Kunisch","raw_affiliation_strings":["University of Graz,Mathematics and Scientific Computing,Graz,Austria,A-8010"],"affiliations":[{"raw_affiliation_string":"University of Graz,Mathematics and Scientific Computing,Graz,Austria,A-8010","institution_ids":["https://openalex.org/I15766117"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067757319"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":null,"apc_paid":null,"fwci":0.509,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59347181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"284","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9975000023841858,"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":0.9966999888420105,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.7546341419219971},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6818666458129883},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6622403264045715},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6391236782073975},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6072065234184265},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5837565660476685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5481430292129517},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5304847359657288},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.487371027469635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4633505940437317},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.43551042675971985},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4053981900215149},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35536670684814453},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31048470735549927},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08759176731109619}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7546341419219971},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6818666458129883},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6622403264045715},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6391236782073975},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6072065234184265},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5837565660476685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5481430292129517},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5304847359657288},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.487371027469635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4633505940437317},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.43551042675971985},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4053981900215149},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35536670684814453},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31048470735549927},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08759176731109619},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc53348.2022.9867749","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867749","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1586623601","https://openalex.org/W1973494638","https://openalex.org/W1981343212","https://openalex.org/W2046456527","https://openalex.org/W2072685235","https://openalex.org/W2074377107","https://openalex.org/W2081962455","https://openalex.org/W2550946907","https://openalex.org/W2999240830","https://openalex.org/W3090015588","https://openalex.org/W6986147737"],"related_works":["https://openalex.org/W2393022482","https://openalex.org/W2377346130","https://openalex.org/W2361092061","https://openalex.org/W2319775965","https://openalex.org/W2357314690","https://openalex.org/W2191886813","https://openalex.org/W1986317414","https://openalex.org/W2163394011","https://openalex.org/W3110743438","https://openalex.org/W1417427010"],"abstract_inverted_index":{"This":[0],"work":[1],"concentrates":[2],"on":[3,15],"a":[4,16,26,107],"class":[5],"of":[6,29,46,52,61,76,91,100,106,115],"Neumann":[7],"optimal":[8,102,117],"control":[9,27,53,78,103,118],"problems":[10],"for":[11,37,81,97],"semilinear":[12],"parabolic":[13],"equations":[14],"bounded":[17],"domain":[18],"Q":[19],"=":[20],"\u03a9":[21],"\u00d7":[22],"(0,T)":[23],"subject":[24],"to":[25,74],"constraint":[28,86],"the":[30,44,49,67,77,85,92,98,101,116],"form":[31],"$||u(t)|{|_{{L^1}(\\Gamma":[32],")}}":[33],"\\leq":[34],"\\gamma":[35],"$":[36],"t":[38],"\u2208":[39],"(0,T),":[40],"where":[41],"\u0393":[42],"is":[43,63,87],"boundary":[45],"\u03a9.":[47],"Thus":[48],"total":[50],"amount":[51],"that":[54],"can":[55],"be":[56],"exercised":[57],"at":[58],"any":[59],"instant":[60],"time":[62,82],"limited.":[64],"Constraining":[65],"by":[66],"L":[68],"<sup":[69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[71],"-norm":[72],"leads":[73],"sparsity":[75],"in":[79],"space,":[80],"instances":[83],"when":[84],"active.":[88],"The":[89],"non-smoothness":[90],"constraint,":[93],"necessitates":[94],"new":[95],"techniques":[96],"analysis":[99],"problem.":[104],"Existence":[105],"solution,":[108],"first":[109],"order":[110],"optimality":[111],"conditions,":[112],"and":[113],"regularity":[114],"are":[119],"established.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}