{"id":"https://openalex.org/W4380356929","doi":"https://doi.org/10.1137/22m149199x","title":"New Assumptions for Stability Analysis in Elliptic Optimal Control Problems","display_name":"New Assumptions for Stability Analysis in Elliptic Optimal Control Problems","publication_year":2023,"publication_date":"2023-06-12","ids":{"openalex":"https://openalex.org/W4380356929","doi":"https://doi.org/10.1137/22m149199x"},"language":"en","primary_location":{"id":"doi:10.1137/22m149199x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m149199x","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repositorio.unican.es/xmlui/bitstream/10902/29304/2/NewAssumptionsStability.pdf","any_repository_has_fulltext":true},"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":false,"raw_author_name":"Eduardo Casas","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y Ciencias de la Computaci\u00f3n, ETSI Industriales y de Telecomunicaci\u00f3n, Universidad de Cantabria, Santander 39005, Espa\u00f1a"],"raw_orcid":"https://orcid.org/0000-0002-8364-9416","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Ciencias de la Computaci\u00f3n, ETSI Industriales y de Telecomunicaci\u00f3n, Universidad de Cantabria, Santander 39005, Espa\u00f1a","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044882597","display_name":"Alberto Dom\u00ednguez Corella","orcid":"https://orcid.org/0000-0002-2269-8070"},"institutions":[{"id":"https://openalex.org/I1327969474","display_name":"Statistics Austria","ror":"https://ror.org/030j5vf66","country_code":"AT","type":"government","lineage":["https://openalex.org/I1327969474"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Alberto Dom\u00ednguez Corella","raw_affiliation_strings":["Institute of Statistics and Mathematical Methods in Economics, Vienna University of Technology, 1050 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics and Mathematical Methods in Economics, Vienna University of Technology, 1050 Vienna, Austria","institution_ids":["https://openalex.org/I1327969474","https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004077781","display_name":"Nicolai Jork","orcid":"https://orcid.org/0000-0003-2439-852X"},"institutions":[{"id":"https://openalex.org/I1327969474","display_name":"Statistics Austria","ror":"https://ror.org/030j5vf66","country_code":"AT","type":"government","lineage":["https://openalex.org/I1327969474"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Nicolai Jork","raw_affiliation_strings":["Institute of Statistics and Mathematical Methods in Economics, Vienna University of Technology, 1050 Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0003-2439-852X","affiliations":[{"raw_affiliation_string":"Institute of Statistics and Mathematical Methods in Economics, Vienna University of Technology, 1050 Vienna, Austria","institution_ids":["https://openalex.org/I1327969474","https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1386,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80023693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"61","issue":"3","first_page":"1394","last_page":"1414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8601065874099731},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.8129833340644836},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7151682376861572},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.608444333076477},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5633493661880493},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5459876656532288},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4906422197818756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46771353483200073},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45101219415664673},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4304003119468689},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4140508472919464},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.4105026423931122},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.21659934520721436},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.1859489381313324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07348126173019409}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8601065874099731},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.8129833340644836},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7151682376861572},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.608444333076477},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5633493661880493},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5459876656532288},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4906422197818756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46771353483200073},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45101219415664673},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4304003119468689},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4140508472919464},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.4105026423931122},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.21659934520721436},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.1859489381313324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07348126173019409},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m149199x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m149199x","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"},{"id":"pmh:oai:repositorio.unican.es:10902/29304","is_oa":true,"landing_page_url":"https://hdl.handle.net/10902/29304","pdf_url":"https://repositorio.unican.es/xmlui/bitstream/10902/29304/2/NewAssumptionsStability.pdf","source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2023, 61(3), 1394 -1414","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:repositorio.unican.es:10902/29304","is_oa":true,"landing_page_url":"https://hdl.handle.net/10902/29304","pdf_url":"https://repositorio.unican.es/xmlui/bitstream/10902/29304/2/NewAssumptionsStability.pdf","source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2023, 61(3), 1394 -1414","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Climate action","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G1175115578","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/G2713276326","display_name":null,"funder_award_id":"by MCIN/AEI/10.13039/501100011033","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/G34346518","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501 100 011 033","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/G425668148","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/G4561213943","display_name":"Regularity properties of mappings and applications","funder_award_id":"I4571","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"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/G5204603469","display_name":null,"funder_award_id":"PID2020-114837GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\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/G7264301175","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8517791338","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320323808","funder_display_name":"Universidad de Cantabria"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323808","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4380356929.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1866311589","https://openalex.org/W1999947435","https://openalex.org/W2013815604","https://openalex.org/W2050434647","https://openalex.org/W2087837558","https://openalex.org/W2112867735","https://openalex.org/W2130595122","https://openalex.org/W2139473935","https://openalex.org/W2167025288","https://openalex.org/W2225782853","https://openalex.org/W2327946538","https://openalex.org/W2608949642","https://openalex.org/W2945491439","https://openalex.org/W2947620061","https://openalex.org/W2962713613","https://openalex.org/W2963530777","https://openalex.org/W2963669911","https://openalex.org/W3008129455","https://openalex.org/W3010114761","https://openalex.org/W3098163481","https://openalex.org/W3179518325","https://openalex.org/W4237326927","https://openalex.org/W4250028192","https://openalex.org/W4308699599"],"related_works":["https://openalex.org/W3131586246","https://openalex.org/W4232854940","https://openalex.org/W2028208404","https://openalex.org/W2004501529","https://openalex.org/W4298516010","https://openalex.org/W2793340545","https://openalex.org/W1974122505","https://openalex.org/W2967187965","https://openalex.org/W1983203485","https://openalex.org/W2950405212"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,29],"dedicated":[3],"to":[4,35,73],"the":[5,9,27,36,54,65,78,81,86],"stability":[6,63],"analysis":[7],"of":[8,12,26,38,64],"optimal":[10,66],"solutions":[11],"a":[13,18,39],"control":[14,43],"problem":[15],"associated":[16,69],"with":[17,71],"semilinear":[19],"elliptic":[20],"equation.":[21],"The":[22,42],"linear":[23],"differential":[24],"operator":[25],"equation":[28,79],"neither":[30],"monotone":[31],"nor":[32],"coercive":[33],"due":[34],"presence":[37],"convection":[40],"term.":[41],"appears":[44],"only":[45,75],"linearly,":[46],"or":[47],"may":[48],"not":[49,74],"even":[50],"appear":[51],"explicitly":[52],"in":[53,77],"objective":[55,82],"functional.":[56],"Under":[57],"new":[58],"assumptions,":[59],"we":[60],"prove":[61],"Lipschitz":[62],"controls":[67],"and":[68,80],"states":[70],"respect":[72],"perturbations":[76],"functional":[83],"but":[84],"also":[85],"Tikhonov":[87],"regularization":[88],"parameter.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2023-06-13T00:00:00"}
