{"id":"https://openalex.org/W2085453541","doi":"https://doi.org/10.1137/s003613999426630x","title":"A Nonuniqueness Theorem for an Inverse Boundary Value Problem in Elasticity","display_name":"A Nonuniqueness Theorem for an Inverse Boundary Value Problem in Elasticity","publication_year":1996,"publication_date":"1996-04-01","ids":{"openalex":"https://openalex.org/W2085453541","doi":"https://doi.org/10.1137/s003613999426630x","mag":"2085453541"},"language":"en","primary_location":{"id":"doi:10.1137/s003613999426630x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003613999426630x","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/A5061165395","display_name":"Gen Nakamura","orcid":"https://orcid.org/0000-0002-7911-8612"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gen Nakamura","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079471177","display_name":"Kazumi Tanuma","orcid":"https://orcid.org/0000-0003-4643-4640"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kazumi Tanuma","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.65,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82935332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"56","issue":"2","first_page":"602","last_page":"610"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T11558","display_name":"Composite Material Mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.7223007678985596},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6378178596496582},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6039831638336182},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5877277851104736},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5519711375236511},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5498849153518677},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.54266756772995},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.49018794298171997},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4707632064819336},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.44255179166793823},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18972858786582947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.135453462600708}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7223007678985596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6378178596496582},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6039831638336182},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5877277851104736},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5519711375236511},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5498849153518677},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.54266756772995},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.49018794298171997},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4707632064819336},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.44255179166793823},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18972858786582947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.135453462600708},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s003613999426630x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003613999426630x","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W13927686","https://openalex.org/W114706459","https://openalex.org/W579709999","https://openalex.org/W1957571366","https://openalex.org/W1989073492","https://openalex.org/W2010900150","https://openalex.org/W2020596016","https://openalex.org/W2585289682","https://openalex.org/W4292311687"],"related_works":["https://openalex.org/W2100405323","https://openalex.org/W605553247","https://openalex.org/W3122009904","https://openalex.org/W1964684258","https://openalex.org/W647767747","https://openalex.org/W2000840193","https://openalex.org/W2950417497","https://openalex.org/W2074811278","https://openalex.org/W2231375456","https://openalex.org/W2010584577"],"abstract_inverted_index":{"The":[0],"authors":[1],"consider":[2],"the":[3,9,21,28,34,38],"inverse":[4],"boundary":[5,10,29],"value":[6],"problem":[7],"at":[8],"for":[11],"a":[12],"two-dimensional":[13],"anisotropic":[14],"elastic":[15,22],"medium.":[16],"It":[17],"is":[18],"proved":[19],"that":[20],"tensor":[23],"and":[24],"its":[25],"derivatives":[26],"on":[27],"cannot":[30],"be":[31],"identified":[32],"from":[33],"full":[35],"symbol":[36],"of":[37],"Dirichlet":[39],"to":[40],"Neumann":[41],"map.":[42]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}