{"id":"https://openalex.org/W4225856098","doi":"https://doi.org/10.1137/21m1464816","title":"Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations","display_name":"Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations","publication_year":2022,"publication_date":"2022-07-13","ids":{"openalex":"https://openalex.org/W4225856098","doi":"https://doi.org/10.1137/21m1464816"},"language":"en","primary_location":{"id":"doi:10.1137/21m1464816","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1464816","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},"type":"preprint","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":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eduardo Casas","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8364-9416","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Kunisch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06447807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":"4","first_page":"2070","last_page":"2094"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9751999974250793,"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":0.9751999974250793,"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":0.963100016117096,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9341999888420105,"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/optimal-control","display_name":"Optimal control","score":0.7952122688293457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7457753419876099},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6898998022079468},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.602907121181488},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.5616416931152344},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5572724342346191},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5102152824401855},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4982316493988037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4944474697113037},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43298494815826416},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43277236819267273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3630172908306122},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18174561858177185},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.14489296078681946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09486961364746094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07760301232337952},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06129109859466553},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.05736503005027771}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7952122688293457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7457753419876099},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6898998022079468},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.602907121181488},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5616416931152344},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5572724342346191},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5102152824401855},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4982316493988037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4944474697113037},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43298494815826416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43277236819267273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3630172908306122},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18174561858177185},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.14489296078681946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09486961364746094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07760301232337952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06129109859466553},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.05736503005027771},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1464816","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1464816","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1643949827","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2726347730","display_name":null,"funder_award_id":"PID2020-114837GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3114316098","display_name":null,"funder_award_id":"MCIN/ AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G683931746","display_name":null,"funder_award_id":"H2020","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7535663061","display_name":null,"funder_award_id":"AEI/10.","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8580170231","display_name":null,"funder_award_id":"668998","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2127510984","https://openalex.org/W2550946907","https://openalex.org/W2590752027","https://openalex.org/W2891155270","https://openalex.org/W2891947808","https://openalex.org/W3216105238","https://openalex.org/W4298228534"],"related_works":["https://openalex.org/W1110521","https://openalex.org/W36033983","https://openalex.org/W34006447","https://openalex.org/W15750297","https://openalex.org/W3451101","https://openalex.org/W18046548","https://openalex.org/W53296665","https://openalex.org/W46744233","https://openalex.org/W37323796","https://openalex.org/W11286400"],"abstract_inverted_index":{"Infinite":[0],"horizon":[1,69],"open":[2],"loop":[3],"optimal":[4,81],"control":[5],"problems":[6],"for":[7],"semilinear":[8],"parabolic":[9],"equations":[10],"are":[11,15],"investigated.":[12],"The":[13,26,51,71],"controls":[14,82],"subject":[16],"to":[17],"a":[18,42,47,65],"cost":[19],"functional":[20],"which":[21],"promotes":[22],"sparsity":[23,77],"in":[24,46,83],"time.":[25,84],"focus":[27],"is":[28,37,55],"put":[29],"on":[30,41,57],"deriving":[31],"first":[32],"order":[33],"optimality":[34,72],"conditions.":[35],"This":[36],"achieved":[38],"without":[39],"relying":[40],"well-defined":[43],"control-to-state":[44],"mapping":[45],"neighborhood":[48],"of":[49,53,60,67,76,79],"minimizers.":[50],"technique":[52],"proof":[54],"based":[56],"the":[58,61,80],"approximation":[59],"original":[62],"problem":[63],"by":[64],"family":[66],"finite":[68],"problems.":[70],"conditions":[73],"allow":[74],"deduction":[75],"properties":[78]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2022-05-05T00:00:00"}
