{"id":"https://openalex.org/W4297484591","doi":null,"title":"Stability of solutions for some inverse problems","display_name":"Stability of solutions for some inverse problems","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W4297484591"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-00750417v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-00750417","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, 2012, 2012 (196), pp.1-11","raw_type":"info:eu-repo/semantics/article"},"parent_works":[],"lineage":["https://openalex.org/W4297484591"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/f38ea3d99a2b485eaa4010a2b32ff549","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002167098","display_name":"Robert Dalmasso","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dalmasso, Robert","raw_affiliation_strings":["Equations aux D\u00e9riv\u00e9es Partielles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Equations aux D\u00e9riv\u00e9es Partielles","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5002167098"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2012","issue":"196","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9735999703407288,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9735999703407288,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.011900000274181366,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.009100000374019146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.9539999961853027},{"id":"https://openalex.org/keywords/stability-estimates","display_name":"stability estimates","score":0.765999972820282},{"id":"https://openalex.org/keywords/elliptic-boundary-value-problems","display_name":"elliptic boundary value problems","score":0.7409999966621399},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.6570000052452087},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.781000018119812},{"id":"https://openalex.org/keywords/two-dimensional-domains","display_name":"two-dimensional domains","score":0.4569999873638153},{"id":"https://openalex.org/keywords/simply-connected-domains","display_name":"simply connected domains","score":0.3160000145435333}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5357913374900818},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.535675585269928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45029139518737793},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4362275004386902},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43299174308776855},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3215765357017517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30032819509506226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.258484810590744},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10850691795349121},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10798895359039307},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.05247741937637329},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.050318896770477295}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:HAL:hal-00750417v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-00750417","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, 2012, 2012 (196), pp.1-11","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:f38ea3d99a2b485eaa4010a2b32ff549","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/f38ea3d99a2b485eaa4010a2b32ff549","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2012, Iss 196,, Pp 1-11 (2012)","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:f38ea3d99a2b485eaa4010a2b32ff549","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/f38ea3d99a2b485eaa4010a2b32ff549","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2012, Iss 196,, Pp 1-11 (2012)","raw_type":"article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2027861653","https://openalex.org/W4416131389","https://openalex.org/W1991149275","https://openalex.org/W2971788173","https://openalex.org/W2982613705","https://openalex.org/W1986447235","https://openalex.org/W3163102391","https://openalex.org/W2049779415","https://openalex.org/W2080181849","https://openalex.org/W7112477674"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3,14],"establish":[4],"three":[5],"stability":[6],"results":[7],"for":[8],"some":[9,79],"inverse":[10,57],"problems.":[11],"More":[12],"precisely":[13],"consider":[15],"the":[16,61,70],"following":[17],"boundary":[18],"value":[19],"problem:":[20],"$Delta":[21],"u":[22,25],"+":[23,26],"lambda":[24],"mu":[27],"=":[28,33],"0$":[29,34],"in":[30,60],"$Omega$,":[31],"$u":[32],"on":[35,75],"$partialOmega$,":[36],"where":[37],"$lambda$":[38,64],"and":[39,44,65],"$mu$":[40,66],"are":[41],"real":[42],"constants":[43],"$Omega":[45],"subset":[46],"mathbb":[47],"R^2$":[48],"is":[49],"a":[50],"smooth":[51],"bounded":[52],"simply-connected":[53],"open":[54],"set.":[55],"The":[56],"problem":[58],"consists":[59],"identification":[62],"of":[63,69],"from":[67],"knowledge":[68],"normal":[71],"flux":[72],"$partial":[73],"u/partialu$":[74],"$partialOmega$":[76],"corresponding":[77],"to":[78],"nontrivial":[80],"solution.":[81]},"counts_by_year":[],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2025-10-10T00:00:00"}