{"id":"https://openalex.org/W1975857140","doi":"https://doi.org/10.1093/imamci/dni052","title":"Minimum-time problem of a retarded parabolic system with the Neumann boundary condition","display_name":"Minimum-time problem of a retarded parabolic system with the Neumann boundary condition","publication_year":2005,"publication_date":"2005-11-11","ids":{"openalex":"https://openalex.org/W1975857140","doi":"https://doi.org/10.1093/imamci/dni052","mag":"1975857140"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dni052","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dni052","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5101468747","display_name":"Anna Krakowiak","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Anna Krakowiak","raw_affiliation_strings":["Institute of Mathematics, Technical University of Cracow, ul. Warszawska 24, 31-155 Cracow, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technical University of Cracow, ul. Warszawska 24, 31-155 Cracow, Poland","institution_ids":["https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101468747"],"corresponding_institution_ids":["https://openalex.org/I4210137370"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10354398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"2","first_page":"181","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973999857902527,"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":0.9973999857902527,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9889000058174133,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9704999923706055,"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/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.7635095715522766},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.680797815322876},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6398582458496094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.531670331954956},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.49478334188461304},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.470614492893219},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38138672709465027},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35031092166900635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3494553565979004},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2715964615345001},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20887482166290283},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12227773666381836},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.04987022280693054},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.049158066511154175}],"concepts":[{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.7635095715522766},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.680797815322876},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6398582458496094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.531670331954956},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.49478334188461304},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.470614492893219},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38138672709465027},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35031092166900635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3494553565979004},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2715964615345001},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20887482166290283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12227773666381836},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.04987022280693054},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.049158066511154175},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dni052","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dni052","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2368213093","https://openalex.org/W2378263446","https://openalex.org/W1586418441","https://openalex.org/W3134680721","https://openalex.org/W2393913967","https://openalex.org/W2100405323","https://openalex.org/W2020502833","https://openalex.org/W1514481392","https://openalex.org/W2373945555","https://openalex.org/W3136311820"],"abstract_inverted_index":{"Journal":[0,48],"Article":[1],"Minimum-time":[2],"problem":[3],"of":[4,21,25,49],"a":[5],"retarded":[6],"parabolic":[7],"system":[8],"with":[9],"the":[10],"Neumann":[11],"boundary":[12],"condition":[13],"Get":[14],"access":[15],"Anna":[16,18],"Krakowiak":[17,19],"Institute":[20],"Mathematics,":[22],"Technical":[23],"University":[24],"Cracow,":[26,31],"ul.":[27],"Warszawska":[28],"24,":[29],"31-155":[30],"Poland":[32],"**Email:":[33],"skrakowi@usk.pk.edu.pl":[34],"Search":[35],"for":[36],"other":[37],"works":[38],"by":[39],"this":[40],"author":[41],"on:":[42],"Oxford":[43],"Academic":[44],"Google":[45],"Scholar":[46],"IMA":[47],"Mathematical":[50],"Control":[51],"and":[52],"Information,":[53],"Volume":[54],"23,":[55],"Issue":[56],"2,":[57],"June":[58,65],"2006,":[59],"Pages":[60],"181\u2013191,":[61],"https://doi.org/10.1093/imamci/dni052":[62],"Published:":[63],"01":[64],"2006":[66]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}