{"id":"https://openalex.org/W2749433853","doi":"https://doi.org/10.1007/978-0-387-30440-3_97","title":"Control of Non-linear Partial Differential Equations","display_name":"Control of Non-linear Partial Differential Equations","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2749433853","doi":"https://doi.org/10.1007/978-0-387-30440-3_97","mag":"2749433853"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_97","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_97","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5084799353","display_name":"Fatiha Alabau\u2010Boussouira","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115482","display_name":"Laboratoire d'\u00c9tude des Microstructures et de M\u00e9canique des Mat\u00e9riaux","ror":"https://ror.org/01nyrrx14","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210095849","https://openalex.org/I4210115482","https://openalex.org/I4210134562","https://openalex.org/I4210150706","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4387154170","display_name":"Laboratoire de Math\u00e9matiques et Applications","ror":"https://ror.org/02p2rk609","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4387154170"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fatiha Alabau\u2010Boussouira","raw_affiliation_strings":["L.M.A.M., Universit\u00e9 de Metz, Metz, France","Laboratoire de Math\u00e9matiques et Applications de Metz"],"affiliations":[{"raw_affiliation_string":"L.M.A.M., Universit\u00e9 de Metz, Metz, France","institution_ids":["https://openalex.org/I4210115482"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications de Metz","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4387154170"]}]},{"author_position":"last","author":{"id":null,"display_name":"Piermarco Cannarsa","orcid":null},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Piermarco Cannarsa","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Rome, Italy","Division du g\u00e9nie et des sciences appliqu\u00e9es"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Division du g\u00e9nie et des sciences appliqu\u00e9es","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084799353"],"corresponding_institution_ids":["https://openalex.org/I4210115482","https://openalex.org/I4210155549","https://openalex.org/I4387154170"],"apc_list":null,"apc_paid":null,"fwci":2.5427,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.91711087,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1485","last_page":"1509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.998199999332428,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9934999942779541,"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/mathematics","display_name":"Mathematics","score":0.4591943025588989},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.43038231134414673},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4233081042766571},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4091276526451111},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4008904695510864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30985456705093384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28886717557907104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05090785026550293}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4591943025588989},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.43038231134414673},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4233081042766571},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4091276526451111},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4008904695510864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30985456705093384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28886717557907104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05090785026550293}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_97","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_97","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-00594903v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00594903","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Robert A. Meyers. Springer Encyclopedia of Complexity and Systems Science, Part 3, Springer, New-York, pp.1485-1509, 2009, ⟨10.1007/978-0-387-30440-3_97⟩","raw_type":"Book sections"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":93,"referenced_works":["https://openalex.org/W30907860","https://openalex.org/W164388825","https://openalex.org/W650120993","https://openalex.org/W1480637530","https://openalex.org/W1490690092","https://openalex.org/W1499788862","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1571469964","https://openalex.org/W1587799944","https://openalex.org/W1604226557","https://openalex.org/W1606157354","https://openalex.org/W1964857679","https://openalex.org/W1966359610","https://openalex.org/W1966913165","https://openalex.org/W1969435656","https://openalex.org/W1971519255","https://openalex.org/W1973648528","https://openalex.org/W1973697519","https://openalex.org/W1978169712","https://openalex.org/W1978219554","https://openalex.org/W1979308690","https://openalex.org/W1980342497","https://openalex.org/W1980366322","https://openalex.org/W1982816601","https://openalex.org/W1989914555","https://openalex.org/W1990220036","https://openalex.org/W1990869879","https://openalex.org/W1992627933","https://openalex.org/W1999299175","https://openalex.org/W2000749497","https://openalex.org/W2001024311","https://openalex.org/W2001156598","https://openalex.org/W2001950147","https://openalex.org/W2002744405","https://openalex.org/W2002859467","https://openalex.org/W2011232312","https://openalex.org/W2013261395","https://openalex.org/W2013940833","https://openalex.org/W2014171178","https://openalex.org/W2016565920","https://openalex.org/W2016971480","https://openalex.org/W2019504025","https://openalex.org/W2020784748","https://openalex.org/W2022481994","https://openalex.org/W2022886904","https://openalex.org/W2023542822","https://openalex.org/W2025311076","https://openalex.org/W2026032603","https://openalex.org/W2026523808","https://openalex.org/W2026967759","https://openalex.org/W2028624058","https://openalex.org/W2029313357","https://openalex.org/W2029620069","https://openalex.org/W2030024890","https://openalex.org/W2030355351","https://openalex.org/W2030571205","https://openalex.org/W2031521898","https://openalex.org/W2032128836","https://openalex.org/W2032420480","https://openalex.org/W2036831763","https://openalex.org/W2038580584","https://openalex.org/W2040800769","https://openalex.org/W2043233479","https://openalex.org/W2046758456","https://openalex.org/W2053821525","https://openalex.org/W2056065957","https://openalex.org/W2057415919","https://openalex.org/W2060048141","https://openalex.org/W2061046407","https://openalex.org/W2065272780","https://openalex.org/W2066096538","https://openalex.org/W2077687987","https://openalex.org/W2081929551","https://openalex.org/W2087574051","https://openalex.org/W2091736671","https://openalex.org/W2095707424","https://openalex.org/W2121552308","https://openalex.org/W2128004971","https://openalex.org/W2148316915","https://openalex.org/W2160219444","https://openalex.org/W2243162423","https://openalex.org/W2252713038","https://openalex.org/W2338052660","https://openalex.org/W2472653020","https://openalex.org/W4230402770","https://openalex.org/W4230923404","https://openalex.org/W4231531878","https://openalex.org/W4237747162","https://openalex.org/W4242885697","https://openalex.org/W4245502469","https://openalex.org/W4285719527","https://openalex.org/W4298228534"],"related_works":["https://openalex.org/W2359206539","https://openalex.org/W2479314534","https://openalex.org/W2388355944","https://openalex.org/W2563073486","https://openalex.org/W2485938319","https://openalex.org/W1991459776","https://openalex.org/W3021320825","https://openalex.org/W4238318050","https://openalex.org/W2072438171","https://openalex.org/W4232257209"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}