{"id":"https://openalex.org/W4386590472","doi":"https://doi.org/10.1093/imamci/dnad025","title":"Impulse controllability for degenerate singular parabolic equations via logarithmic convexity method","display_name":"Impulse controllability for degenerate singular parabolic equations via logarithmic convexity method","publication_year":2023,"publication_date":"2023-09-08","ids":{"openalex":"https://openalex.org/W4386590472","doi":"https://doi.org/10.1093/imamci/dnad025"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnad025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnad025","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/A5061123345","display_name":"Hamid Ma\u00e2rouf","orcid":null},"institutions":[{"id":"https://openalex.org/I119856527","display_name":"Cadi Ayyad University","ror":"https://ror.org/04xf6nm78","country_code":"MA","type":"education","lineage":["https://openalex.org/I119856527"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Hamid Maarouf","raw_affiliation_strings":["Cadi Ayyad University , Ecole Sup\u00e9rieure de Technologie, , Route Dar Si A\u00efssa, 46000 Safi , Morocco","Computer Science Department , Ecole Sup\u00e9rieure de Technologie, , Route Dar Si A\u00efssa, 46000 Safi , Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cadi Ayyad University , Ecole Sup\u00e9rieure de Technologie, , Route Dar Si A\u00efssa, 46000 Safi , Morocco","institution_ids":["https://openalex.org/I119856527"]},{"raw_affiliation_string":"Computer Science Department , Ecole Sup\u00e9rieure de Technologie, , Route Dar Si A\u00efssa, 46000 Safi , Morocco","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103063120","display_name":"Lahcen Maniar","orcid":"https://orcid.org/0000-0003-0927-9215"},"institutions":[{"id":"https://openalex.org/I119856527","display_name":"Cadi Ayyad University","ror":"https://ror.org/04xf6nm78","country_code":"MA","type":"education","lineage":["https://openalex.org/I119856527"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Lahcen Maniar","raw_affiliation_strings":["Cadi Ayyad University , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","Department of Mathematics , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, Bd Prince Moulay Abdellah, 40000 Marrakesh, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cadi Ayyad University , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","institution_ids":["https://openalex.org/I119856527"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","institution_ids":["https://openalex.org/I119856527"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, Bd Prince Moulay Abdellah, 40000 Marrakesh, Morocco","institution_ids":["https://openalex.org/I119856527"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092842642","display_name":"Ilham Ouelddris","orcid":null},"institutions":[{"id":"https://openalex.org/I119856527","display_name":"Cadi Ayyad University","ror":"https://ror.org/04xf6nm78","country_code":"MA","type":"education","lineage":["https://openalex.org/I119856527"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Ilham Ouelddris","raw_affiliation_strings":["Cadi Ayyad University , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","Department of Mathematics , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, Bd Prince Moulay Abdellah, 40000 Marrakesh, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cadi Ayyad University , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","institution_ids":["https://openalex.org/I119856527"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco","institution_ids":["https://openalex.org/I119856527"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, Bd Prince Moulay Abdellah, 40000 Marrakesh, Morocco","institution_ids":["https://openalex.org/I119856527"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071612291","display_name":"Jawad Salhi","orcid":"https://orcid.org/0000-0001-9290-9681"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]},{"id":"https://openalex.org/I52066220","display_name":"Instituto Superior da Maia","ror":"https://ror.org/04f761z39","country_code":"PT","type":"facility","lineage":["https://openalex.org/I52066220"]}],"countries":["MA","PT"],"is_corresponding":false,"raw_author_name":"Jawad Salhi","raw_affiliation_strings":["Department of Mathematics , FST Errachidia, , MAIS Lab., MAMCS Group, P.O. Box: 509 Boutalamine, 52000 Errachidia , Morocco","Moulay Ismail University of Meknes , FST Errachidia, , MAIS Lab., MAMCS Group, P.O. Box: 509 Boutalamine, 52000 Errachidia , Morocco","Department of Mathematics, FST Errachidia, Moulay Ismail University of Meknes, MAIS Lab., MAMCS Group, P.O. Box: 509 Boutalamine, 52000 Errachidia, Morocco"],"raw_orcid":"https://orcid.org/0000-0001-9290-9681","affiliations":[{"raw_affiliation_string":"Department of Mathematics , FST Errachidia, , MAIS Lab., MAMCS Group, P.O. Box: 509 Boutalamine, 52000 Errachidia , Morocco","institution_ids":["https://openalex.org/I52066220"]},{"raw_affiliation_string":"Moulay Ismail University of Meknes , FST Errachidia, , MAIS Lab., MAMCS Group, P.O. Box: 509 Boutalamine, 52000 Errachidia , Morocco","institution_ids":["https://openalex.org/I4210153608"]},{"raw_affiliation_string":"Department of Mathematics, FST Errachidia, Moulay Ismail University of Meknes, MAIS Lab., MAMCS Group, P.O. Box: 509 Boutalamine, 52000 Errachidia, Morocco","institution_ids":["https://openalex.org/I4210153608"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061123345"],"corresponding_institution_ids":["https://openalex.org/I119856527"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.7174,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70759451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"40","issue":"4","first_page":"593","last_page":"617"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9959999918937683,"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/controllability","display_name":"Controllability","score":0.7998086214065552},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7842541933059692},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6891728639602661},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6345911026000977},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5789064764976501},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5303880572319031},{"id":"https://openalex.org/keywords/commutator","display_name":"Commutator","score":0.5081512928009033},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4502255320549011},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.4404422342777252},{"id":"https://openalex.org/keywords/flatness","display_name":"Flatness (cosmology)","score":0.42628544569015503},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3729868531227112},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.29827675223350525},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20766064524650574},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.08973175287246704},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.061352282762527466},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.060453981161117554},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.05081218481063843}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7998086214065552},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7842541933059692},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6891728639602661},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6345911026000977},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5789064764976501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5303880572319031},{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.5081512928009033},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4502255320549011},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.4404422342777252},{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.42628544569015503},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3729868531227112},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29827675223350525},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20766064524650574},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.08973175287246704},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.061352282762527466},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.060453981161117554},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.05081218481063843},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnad025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnad025","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":42,"referenced_works":["https://openalex.org/W1524099673","https://openalex.org/W1618634548","https://openalex.org/W1964857679","https://openalex.org/W1977835435","https://openalex.org/W1985491254","https://openalex.org/W1987437946","https://openalex.org/W1993046097","https://openalex.org/W1995788739","https://openalex.org/W2011483362","https://openalex.org/W2012666906","https://openalex.org/W2013371231","https://openalex.org/W2037776135","https://openalex.org/W2048879181","https://openalex.org/W2052810255","https://openalex.org/W2079671874","https://openalex.org/W2102105511","https://openalex.org/W2112263018","https://openalex.org/W2135778954","https://openalex.org/W2184067402","https://openalex.org/W2337928222","https://openalex.org/W2581030625","https://openalex.org/W2616851488","https://openalex.org/W2785354382","https://openalex.org/W2899005742","https://openalex.org/W2925076200","https://openalex.org/W2963347560","https://openalex.org/W2963773737","https://openalex.org/W2963810514","https://openalex.org/W2963976866","https://openalex.org/W2964292842","https://openalex.org/W3041029164","https://openalex.org/W3149562377","https://openalex.org/W3176924835","https://openalex.org/W3192441263","https://openalex.org/W3198913730","https://openalex.org/W4221151636","https://openalex.org/W4226018143","https://openalex.org/W4293203596","https://openalex.org/W4306318734","https://openalex.org/W4313194794","https://openalex.org/W6738555622","https://openalex.org/W6799821337"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2561315646","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2316191048","https://openalex.org/W4389471227","https://openalex.org/W1569734721"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,22],"paper,":[3],"we":[4,24],"study":[5],"null":[6],"approximate":[7],"controllability":[8],"of":[9,17,74],"degenerate":[10],"singular":[11],"parabolic":[12],"equations":[13],"under":[14],"the":[15,35,39,59,78,82],"action":[16],"an":[18,26],"impulsive":[19],"control.":[20],"To":[21],"aim,":[23],"prove":[25],"observation":[27],"estimate":[28],"at":[29],"one":[30],"point":[31],"in":[32],"time":[33],"for":[34],"problems":[36],"associated":[37],"to":[38],"operators:":[40],"$$":[41,57],"\\begin{align*}&amp;":[42],"u_{t}":[43],"-(x^{\\alpha}":[44],"u_{x})_{x}":[45],"-":[46],"\\dfrac{\\mu}{x^{\\beta}}":[47],"u":[48],"=":[49],"0,":[50],"\\qquad":[51],"x":[52],"\\in":[53,67],"\\left(0,":[54],"1\\right),":[55],"\\end{align*}":[56],"where":[58],"parameters":[60],"$\\alpha":[61],"\\geq":[62],"0$,":[63],"$\\beta":[64],",":[65],"\\mu":[66],"\\mathbb{R}$":[68],"satisfy":[69],"suitable":[70],"assumptions.":[71],"The":[72],"method":[73],"proof":[75],"combines":[76],"both":[77],"logarithmic":[79],"convexity":[80],"and":[81],"Carleman":[83],"commutator.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
