{"id":"https://openalex.org/W3129102459","doi":"https://doi.org/10.1137/21m1407148","title":"Stability for an Inverse Source Problem of the Biharmonic Operator","display_name":"Stability for an Inverse Source Problem of the Biharmonic Operator","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3129102459","doi":"https://doi.org/10.1137/21m1407148","mag":"3129102459"},"language":"en","primary_location":{"id":"doi:10.1137/21m1407148","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1407148","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5100742532","display_name":"Peijun Li","orcid":"https://orcid.org/0000-0001-5119-6435"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peijun Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018640779","display_name":"Xiaohua Yao","orcid":"https://orcid.org/0000-0002-4707-3528"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaohua Yao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5042786164","display_name":"Yue Zhao","orcid":"https://orcid.org/0000-0001-5939-8410"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yue Zhao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.0929,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.99019608,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"81","issue":"6","first_page":"2503","last_page":"2525"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980999827384949,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/biharmonic-equation","display_name":"Biharmonic equation","score":0.9402399659156799},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6844059824943542},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6318185925483704},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5244817137718201},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4647238850593567},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4613741636276245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45370596647262573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42144742608070374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3782493770122528},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33867305517196655},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3368675112724304},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27665144205093384},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15831243991851807},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.13443508744239807},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0993802547454834},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07496589422225952},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06216627359390259},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.05718401074409485}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.9402399659156799},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6844059824943542},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6318185925483704},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5244817137718201},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4647238850593567},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4613741636276245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45370596647262573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42144742608070374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3782493770122528},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33867305517196655},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3368675112724304},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27665144205093384},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15831243991851807},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.13443508744239807},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0993802547454834},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07496589422225952},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06216627359390259},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.05718401074409485},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1407148","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1407148","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2769442599","display_name":"\u8c03\u548c\u5206\u6790\u5bf9\u5fae\u5206\u7b97\u5b50\u5e94\u7528\u7684\u7814\u7a76","funder_award_id":"11771165","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G309346365","display_name":null,"funder_award_id":"DMS-1912704","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5895339649","display_name":null,"funder_award_id":"12001222","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1523113578","https://openalex.org/W1966675100","https://openalex.org/W1970136394","https://openalex.org/W2023638857","https://openalex.org/W2027034002","https://openalex.org/W2028635482","https://openalex.org/W2055403345","https://openalex.org/W2063679404","https://openalex.org/W2120440916","https://openalex.org/W2138844388","https://openalex.org/W2182253600","https://openalex.org/W2258457489","https://openalex.org/W2345980061","https://openalex.org/W2524557750","https://openalex.org/W2775956171","https://openalex.org/W2781080834","https://openalex.org/W2885296385","https://openalex.org/W2924684537","https://openalex.org/W2963610527","https://openalex.org/W2963932367","https://openalex.org/W2964044058","https://openalex.org/W2980678892","https://openalex.org/W3093905087","https://openalex.org/W3100352549","https://openalex.org/W3106118046","https://openalex.org/W3113144005"],"related_works":["https://openalex.org/W2749372882","https://openalex.org/W2033816073","https://openalex.org/W2740796384","https://openalex.org/W1658486338","https://openalex.org/W2080707627","https://openalex.org/W4288412182","https://openalex.org/W4313484339","https://openalex.org/W2332648792","https://openalex.org/W2925234715","https://openalex.org/W2921189945"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"23":[17],"March":[18],"2021Accepted:":[19],"30":[20],"August":[21],"2021Published":[22],"online:":[23],"02":[24],"December":[25],"2021Keywordsresolvent":[26],"estimate,":[27],"inverse":[28],"source":[29],"problem,":[30],"biharmonic":[31],"operator,":[32],"stabilityAMS":[33],"Subject":[34],"Headings35R30,":[35],"78A46Publication":[36],"DataISSN":[37],"(print):":[38],"0036-1399ISSN":[39],"(online):":[40],"1095-712XPublisher:":[41],"Society":[42],"for":[43],"Industrial":[44],"and":[45],"Applied":[46],"MathematicsCODEN:":[47],"smjmap":[48]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}