{"id":"https://openalex.org/W2028152868","doi":"https://doi.org/10.1137/s0036139997324595","title":"Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in $\\Bbb R^3$","display_name":"Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in $\\Bbb R^3$","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2028152868","doi":"https://doi.org/10.1137/s0036139997324595","mag":"2028152868"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139997324595","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997324595","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/A5109256316","display_name":"Hyeonbae Kang","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Hyeonbae Kang","raw_affiliation_strings":["Seoul National Univ"],"affiliations":[{"raw_affiliation_string":"Seoul National Univ","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034037522","display_name":"Jin Keun Seo","orcid":"https://orcid.org/0000-0002-6275-4938"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jin Keun Seo","raw_affiliation_strings":["Department of Computational Science and Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Computational Science and Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109256316"],"corresponding_institution_ids":["https://openalex.org/I139264467"],"apc_list":null,"apc_paid":null,"fwci":4.1795,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.94365054,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"59","issue":"5","first_page":"1533","last_page":"1539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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":1.0,"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":0.9966999888420105,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9937999844551086,"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/nabla-symbol","display_name":"Nabla symbol","score":0.8724926710128784},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7832967042922974},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7240546941757202},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.7203083038330078},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6442596316337585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5878298878669739},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5673125982284546},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5193770527839661},{"id":"https://openalex.org/keywords/conductivity","display_name":"Conductivity","score":0.5100703835487366},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5058674216270447},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.46603697538375854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45769697427749634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4064450263977051},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28562819957733154},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15847158432006836}],"concepts":[{"id":"https://openalex.org/C54207081","wikidata":"https://www.wikidata.org/wiki/Q937750","display_name":"Nabla symbol","level":3,"score":0.8724926710128784},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7832967042922974},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7240546941757202},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7203083038330078},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6442596316337585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5878298878669739},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5673125982284546},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5193770527839661},{"id":"https://openalex.org/C131540310","wikidata":"https://www.wikidata.org/wiki/Q907564","display_name":"Conductivity","level":2,"score":0.5100703835487366},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5058674216270447},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.46603697538375854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45769697427749634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4064450263977051},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28562819957733154},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15847158432006836},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139997324595","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997324595","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":12,"referenced_works":["https://openalex.org/W1523113578","https://openalex.org/W1989073492","https://openalex.org/W2003369666","https://openalex.org/W2020520663","https://openalex.org/W2023613451","https://openalex.org/W2024430140","https://openalex.org/W2079774358","https://openalex.org/W2084093577","https://openalex.org/W2093892008","https://openalex.org/W2470238137","https://openalex.org/W4239854018","https://openalex.org/W4292027041"],"related_works":["https://openalex.org/W2229925025","https://openalex.org/W1539596337","https://openalex.org/W33469805","https://openalex.org/W1855007440","https://openalex.org/W2788247819","https://openalex.org/W2914699178","https://openalex.org/W2792440356","https://openalex.org/W3112745479","https://openalex.org/W4378474062","https://openalex.org/W1792531105"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"the":[3,13],"location":[4],"and":[5],"size":[6],"of":[7],"an":[8],"unknown":[9],"ball":[10],"D":[11],"entering":[12],"conductivity":[14],"equation":[15],"$\\mbox{div}((1+(k-1)\\chi_D)\\nabla":[16],"u)=0$":[17],"in":[18],"a":[19],"bounded":[20],"domain":[21],"$\\Omega\\subset":[22],"{\\Bbb":[23],"R}^3$":[24],"are":[25],"uniquely":[26],"determined":[27],"by":[28],"any":[29],"single":[30],"nonzero":[31],"Cauchy":[32],"data":[33],"$(u,":[34],"\\pd{u}{\\nu})$":[35],"on":[36],"$\\bO$.":[37]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-01T08:55:55.761014","created_date":"2025-10-10T00:00:00"}
