{"id":"https://openalex.org/W1989144149","doi":"https://doi.org/10.1137/s0036139996303038","title":"On The Determination of Radially Dependent Lam\u00e9 Coefficients","display_name":"On The Determination of Radially Dependent Lam\u00e9 Coefficients","publication_year":1998,"publication_date":"1998-06-01","ids":{"openalex":"https://openalex.org/W1989144149","doi":"https://doi.org/10.1137/s0036139996303038","mag":"1989144149"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139996303038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996303038","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/A5111632429","display_name":"Zhongyan Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhongyan Lin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5111632429"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.13894703,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"3","first_page":"875","last_page":"903"},"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":0.9987999796867371,"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":0.9975000023841858,"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":0.7196334600448608},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6769426465034485},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5872812271118164},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5629087090492249},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5590493083000183},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5392488241195679},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.47915998101234436},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.47714969515800476},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.4388556480407715},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.4167248010635376},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41554513573646545},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4052404761314392},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3495050072669983},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1296546757221222}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7196334600448608},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6769426465034485},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5872812271118164},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5629087090492249},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5590493083000183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5392488241195679},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.47915998101234436},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.47714969515800476},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.4388556480407715},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.4167248010635376},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41554513573646545},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4052404761314392},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3495050072669983},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1296546757221222},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139996303038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996303038","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1523113578","https://openalex.org/W1540935623","https://openalex.org/W1571163910","https://openalex.org/W1579900883","https://openalex.org/W1680579736","https://openalex.org/W1964484028","https://openalex.org/W1980919983","https://openalex.org/W2005044652","https://openalex.org/W2008633227","https://openalex.org/W2020596016","https://openalex.org/W2023599039","https://openalex.org/W2049779415","https://openalex.org/W2061570073","https://openalex.org/W2098430474","https://openalex.org/W2107221565","https://openalex.org/W2136039584","https://openalex.org/W2326571829","https://openalex.org/W2477380909","https://openalex.org/W4248913130","https://openalex.org/W4292027041","https://openalex.org/W4298653657"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W1492688905","https://openalex.org/W2524071042","https://openalex.org/W2550220886","https://openalex.org/W4300200796","https://openalex.org/W2184854647"],"abstract_inverted_index":{"In":[0],"this":[1,70],"paper,":[2],"we":[3,91],"prove":[4],"that":[5],"one":[6],"can":[7,81],"determine":[8],"radially":[9],"dependent":[10],"Lam\u00e9":[11],"coefficients":[12],"$\\lambda$":[13],"and":[14,36],"$\\mu$":[15],"of":[16,34,41,55,64,96],"an":[17],"isotropic":[18],"elastic":[19],"ball":[20],"by":[21],"choosing":[22],"only":[23],"two":[24],"correspondences":[25],"in":[26],"the":[27,39,42,65,76,89,94],"Dirichlet-to-Neumann":[28],"map,":[29],"i.e.,":[30],"twice":[31],"making":[32],"measurements":[33],"displacement":[35],"stress":[37],"on":[38,79],"surface":[40],"ball.":[43],"This":[44],"is":[45],"a":[46,53,61,85],"one-dimensional,":[47,99],"multiunknown,":[48],"undetermined":[49],"coefficient":[50],"problem":[51],"for":[52,68,74],"system":[54],"partial":[56],"differential":[57],"equations.":[58],"We":[59],"use":[60],"matrix":[62],"form":[63],"transmutation":[66,80],"mapping":[67],"solving":[69,97],"problem.":[71],"The":[72],"procedure":[73],"proving":[75],"uniqueness":[77],"based":[78],"be":[82],"viewed":[83],"as":[84],"computational":[86],"algorithm.":[87],"Also":[88],"method":[90],"develop":[92],"has":[93],"potential":[95],"other":[98],"multiunknown":[100],"inverse":[101],"problems.":[102]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
