{"id":"https://openalex.org/W1973494638","doi":"https://doi.org/10.1137/120872395","title":"Parabolic Control Problems in Measure Spaces with Sparse Solutions","display_name":"Parabolic Control Problems in Measure Spaces with Sparse Solutions","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1973494638","doi":"https://doi.org/10.1137/120872395","mag":"1973494638"},"language":"en","primary_location":{"id":"doi:10.1137/120872395","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120872395","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":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":false,"raw_author_name":"Eduardo Casas","raw_affiliation_strings":["University Of Cantabria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Of Cantabria","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011665383","display_name":"Christian Clason","orcid":"https://orcid.org/0000-0002-9948-8426"},"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":"Christian Clason","raw_affiliation_strings":["University of Graz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Graz","institution_ids":["https://openalex.org/I15766117"]}]},{"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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Graz","institution_ids":["https://openalex.org/I15766117"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.0565,"has_fulltext":false,"cited_by_count":91,"citation_normalized_percentile":{"value":0.98619248,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"51","issue":"1","first_page":"28","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9991000294685364,"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":0.9988999962806702,"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":0.8635091781616211},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.8152327537536621},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7204276323318481},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6777135729789734},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6553622484207153},{"id":"https://openalex.org/keywords/square-integrable-function","display_name":"Square-integrable function","score":0.5533567667007446},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5511231422424316},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5307602286338806},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5255754590034485},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4774118661880493},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47310400009155273},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4553059935569763},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.41082531213760376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33410805463790894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12630102038383484}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8635091781616211},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8152327537536621},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7204276323318481},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6777135729789734},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6553622484207153},{"id":"https://openalex.org/C75413324","wikidata":"https://www.wikidata.org/wiki/Q1530791","display_name":"Square-integrable function","level":2,"score":0.5533567667007446},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5511231422424316},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5307602286338806},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5255754590034485},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4774118661880493},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47310400009155273},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4553059935569763},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.41082531213760376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33410805463790894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12630102038383484},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/120872395","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120872395","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:10902/2963","is_oa":false,"landing_page_url":"http://hdl.handle.net/10902/2963","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Siam Journal on Control and Optimization, 2013, 51(1), 28\u201363","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:unipub.uni-graz.at:123828","is_oa":false,"landing_page_url":"http://resolver.obvsg.at/urn:nbn:at:at-ubg:3-361","pdf_url":null,"source":{"id":"https://openalex.org/S4306400359","display_name":"Unipub UB Graz (Universit\u00e4t Graz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I15766117","host_organization_name":"University of Graz","host_organization_lineage":["https://openalex.org/I15766117"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W99776242","https://openalex.org/W131498339","https://openalex.org/W565681979","https://openalex.org/W1489222793","https://openalex.org/W1515623627","https://openalex.org/W1653619892","https://openalex.org/W1965332272","https://openalex.org/W1971732347","https://openalex.org/W1981343212","https://openalex.org/W1992688650","https://openalex.org/W2015783980","https://openalex.org/W2038291611","https://openalex.org/W2041523977","https://openalex.org/W2043841940","https://openalex.org/W2045940260","https://openalex.org/W2082621526","https://openalex.org/W2095140771","https://openalex.org/W2601777109","https://openalex.org/W3038830718","https://openalex.org/W4250028192"],"related_works":["https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W2385175414","https://openalex.org/W2083817219","https://openalex.org/W2264582182","https://openalex.org/W4389325770","https://openalex.org/W3047860677","https://openalex.org/W1850237974","https://openalex.org/W2969693569","https://openalex.org/W2343093002"],"abstract_inverted_index":{"Optimal":[0],"control":[1,76],"problems":[2,25],"in":[3,17,35,84],"measure":[4,86],"spaces":[5],"lead":[6],"to":[7,44,57],"controls":[8,45],"that":[9],"have":[10],"small":[11],"support,":[12],"which":[13,42],"is":[14,33,73],"desirable,":[15],"e.g.,":[16],"the":[18,36,71,75,85,91,95],"context":[19],"of":[20,38,94],"optimal":[21,96],"actuator":[22],"placement.":[23],"For":[24],"governed":[26],"by":[27],"parabolic":[28],"partial":[29],"differential":[30],"equations,":[31],"well-posedness":[32],"guaranteed":[34],"space":[37],"square-integrable":[39],"measure-valued":[40],"functions,":[41],"leads":[43],"with":[46],"a":[47],"spatial":[48],"sparsity":[49],"structure.":[50],"A":[51],"conforming":[52],"approximation":[53],"framework":[54],"allows":[55],"one":[56],"derive":[58],"numerically":[59],"accessible":[60],"optimality":[61],"conditions":[62],"as":[63,65],"well":[64],"convergence":[66],"rates.":[67],"In":[68],"particular,":[69],"although":[70],"state":[72],"discretized,":[74],"problem":[77],"can":[78],"still":[79],"be":[80],"formulated":[81],"and":[82],"solved":[83],"space.":[87],"Numerical":[88],"examples":[89],"illustrate":[90],"structural":[92],"features":[93],"controls.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}