{"id":"https://openalex.org/W1967850176","doi":"https://doi.org/10.1137/050638047","title":"Bilateral Obstacle Control Problem of Parabolic Variational Inequalities","display_name":"Bilateral Obstacle Control Problem of Parabolic Variational Inequalities","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1967850176","doi":"https://doi.org/10.1137/050638047","mag":"1967850176"},"language":"en","primary_location":{"id":"doi:10.1137/050638047","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050638047","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/A5082158489","display_name":"Qihong Chen","orcid":"https://orcid.org/0000-0002-4465-7464"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qihong Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102966756","display_name":"Delin Chu","orcid":"https://orcid.org/0000-0001-7736-7490"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Delin Chu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5109412865","display_name":"Roger C. E. Tan","orcid":"https://orcid.org/0009-0009-3531-2294"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roger C. E. Tan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.073524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"4","first_page":"1518","last_page":"1537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9925000071525574,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9925000071525574,"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/T12158","display_name":"Guidance and Control Systems","score":0.9434000253677368,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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":0.9168999791145325,"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/variational-inequality","display_name":"Variational inequality","score":0.948171854019165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8644015789031982},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.8509253263473511},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"Obstacle problem","score":0.8345853686332703},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5940306782722473},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4910612106323242},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4618465304374695},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3584916591644287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3563169538974762},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35177499055862427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09171745181083679}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.948171854019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8644015789031982},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.8509253263473511},{"id":"https://openalex.org/C132369183","wikidata":"https://www.wikidata.org/wiki/Q3406250","display_name":"Obstacle problem","level":3,"score":0.8345853686332703},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5940306782722473},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4910612106323242},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4618465304374695},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3584916591644287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3563169538974762},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35177499055862427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09171745181083679},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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":2,"locations":[{"id":"doi:10.1137/050638047","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050638047","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:scholarbank.nus.edu.sg:10635/102929","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/102929","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6200000047683716,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W127269185","https://openalex.org/W1993397232","https://openalex.org/W1996998222","https://openalex.org/W1997472590","https://openalex.org/W2013990058","https://openalex.org/W2017019963","https://openalex.org/W2038125339","https://openalex.org/W2044751485","https://openalex.org/W2063245973","https://openalex.org/W2063318629","https://openalex.org/W2073078790","https://openalex.org/W2089041560","https://openalex.org/W2090339535","https://openalex.org/W2100913639","https://openalex.org/W2120757254","https://openalex.org/W2162653472","https://openalex.org/W2297630908"],"related_works":["https://openalex.org/W2063245973","https://openalex.org/W1989743438","https://openalex.org/W1993397232","https://openalex.org/W4238417450","https://openalex.org/W1482810786","https://openalex.org/W1969086070","https://openalex.org/W107811838","https://openalex.org/W2998793487","https://openalex.org/W4308703440","https://openalex.org/W171600397"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,9,22,32,36],"optimality":[4],"system":[5,24],"as":[6,8],"well":[7],"existence":[10],"theorem":[11],"for":[12],"an":[13],"obstacle":[14],"optimal":[15],"control":[16,34],"problem":[17],"are":[18],"established,":[19],"in":[20],"which":[21],"governing":[23],"is":[25,35],"a":[26],"parabolic":[27],"bilateral":[28],"variational":[29],"inequality":[30],"and":[31,40],"input":[33],"pair":[37],"of":[38],"upper":[39],"lower":[41],"obstacles.":[42]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}