{"id":"https://openalex.org/W4392962320","doi":"https://doi.org/10.1137/22m1533542","title":"Stability Estimates for the Inverse Fractional Conductivity Problem","display_name":"Stability Estimates for the Inverse Fractional Conductivity Problem","publication_year":2024,"publication_date":"2024-03-19","ids":{"openalex":"https://openalex.org/W4392962320","doi":"https://doi.org/10.1137/22m1533542"},"language":"en","primary_location":{"id":"doi:10.1137/22m1533542","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1533542","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5079144512","display_name":"Giovanni Covi","orcid":"https://orcid.org/0000-0003-1676-004X"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]},{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Giovanni Covi","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik, Ruprecht-Karls-Universit\u00e4t Heidelberg, Im Neuenheimer Feld, 205, 69120, Heidelberg, Germany","Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53113, Bonn, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1676-004X","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik, Ruprecht-Karls-Universit\u00e4t Heidelberg, Im Neuenheimer Feld, 205, 69120, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53113, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005326186","display_name":"Jesse Railo","orcid":"https://orcid.org/0000-0001-9226-4190"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I63548447","display_name":"Lappeenranta-Lahti University of Technology","ror":"https://ror.org/0208vgz68","country_code":"FI","type":"education","lineage":["https://openalex.org/I63548447"]}],"countries":["FI","GB"],"is_corresponding":false,"raw_author_name":"Jesse Railo","raw_affiliation_strings":["Computational Engineering, School of Engineering Sciences, Lappeenranta-Lahti University of Technology LUT, Yliopistonkatu 34, 53850, Lappeenranta, Finland","Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, UK"],"raw_orcid":"https://orcid.org/0000-0001-9226-4190","affiliations":[{"raw_affiliation_string":"Computational Engineering, School of Engineering Sciences, Lappeenranta-Lahti University of Technology LUT, Yliopistonkatu 34, 53850, Lappeenranta, Finland","institution_ids":["https://openalex.org/I63548447"]},{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091140802","display_name":"Teemu Tyni","orcid":"https://orcid.org/0000-0001-6978-3646"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["CA","FI"],"is_corresponding":false,"raw_author_name":"Teemu Tyni","raw_affiliation_strings":["Department of Mathematics, University of Toronto, Toronto M5S 2E4, ON, Canada","Research unit of applied and computational mathematics, University of Oulu, Pentti Kaiteran katu 1, Linnanmaa, 90014, Oulu, Finland"],"raw_orcid":"https://orcid.org/0000-0001-6978-3646","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Toronto, Toronto M5S 2E4, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Research unit of applied and computational mathematics, University of Oulu, Pentti Kaiteran katu 1, Linnanmaa, 90014, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011362455","display_name":"Philipp Zimmermann","orcid":"https://orcid.org/0000-0002-6791-1779"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["CH","ES"],"is_corresponding":false,"raw_author_name":"Philipp Zimmermann","raw_affiliation_strings":["Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007, Barcelona, Spain","Department of Mathematics, ETH Z\u00fcrich, Z\u00fcrich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-6791-1779","affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007, Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079144512"],"corresponding_institution_ids":["https://openalex.org/I135140700","https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":8.5938,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.98810489,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"2456","last_page":"2487"},"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":0.9990000128746033,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9966999888420105,"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/mathematics","display_name":"Mathematics","score":0.8454743027687073},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7389566898345947},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6749280095100403},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6410608291625977},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.616845428943634},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5910812020301819},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5457815527915955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5177680253982544},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43262794613838196},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09644725918769836}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8454743027687073},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7389566898345947},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6749280095100403},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6410608291625977},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.616845428943634},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5910812020301819},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5457815527915955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5177680253982544},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43262794613838196},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09644725918769836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1533542","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1533542","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321109","display_name":"Suomalainen Tiedeakatemia","ror":"https://ror.org/01njdr168"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W166242285","https://openalex.org/W617215881","https://openalex.org/W1545761024","https://openalex.org/W1601806616","https://openalex.org/W1602383637","https://openalex.org/W1972581758","https://openalex.org/W1981696101","https://openalex.org/W1998774301","https://openalex.org/W2011095781","https://openalex.org/W2016190564","https://openalex.org/W2029529153","https://openalex.org/W2032463465","https://openalex.org/W2034796522","https://openalex.org/W2049176462","https://openalex.org/W2070533846","https://openalex.org/W2076929784","https://openalex.org/W2095463076","https://openalex.org/W2154530595","https://openalex.org/W2480404596","https://openalex.org/W2527440852","https://openalex.org/W2552701315","https://openalex.org/W2739814087","https://openalex.org/W2749598712","https://openalex.org/W2768952472","https://openalex.org/W2963770530","https://openalex.org/W2964090634","https://openalex.org/W3014126082","https://openalex.org/W3018503873","https://openalex.org/W3042457999","https://openalex.org/W3099709074","https://openalex.org/W3101029882","https://openalex.org/W3104066611","https://openalex.org/W3121690777","https://openalex.org/W3213855703","https://openalex.org/W3217575595","https://openalex.org/W4213021285","https://openalex.org/W4226257648","https://openalex.org/W4235661189","https://openalex.org/W4248913130","https://openalex.org/W4296836658","https://openalex.org/W4383314648","https://openalex.org/W4385301823","https://openalex.org/W4387866571"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2053598678","https://openalex.org/W4300991893","https://openalex.org/W4299530511","https://openalex.org/W4382491871","https://openalex.org/W2331917905","https://openalex.org/W3155039083"],"abstract_inverted_index":{".We":[0],"study":[1],"the":[2,9,24,33,44,48,53,62,66,80,83,91,94,97,102,109,112,117,123,126,136,140],"stability":[3,21,46,64,81,114],"of":[4,47,65,76,82,90,96,111,125],"an":[5],"inverse":[6,25,50,127],"problem":[7,26,51,138],"for":[8,23,52,139],"fractional":[10,54,141],"conductivity":[11,128],"equation":[12,56],"on":[13,32,79,122,135],"bounded":[14],"smooth":[15],"domains.":[16],"We":[17],"obtain":[18],"a":[19,29],"logarithmic":[20,45,113],"estimate":[22],"under":[27],"suitable":[28],"priori":[30],"bounds":[31],"globally":[34],"defined":[35],"conductivities.":[36],"The":[37,87],"argument":[38],"has":[39],"three":[40],"main":[41,88],"ingredients:":[42],"1.":[43],"related":[49,100],"Schr\u00f6dinger":[55,142],"by":[57,120,131],"R\u00fcland":[58,132],"and":[59,72,130,133],"Salo;":[60],"2.":[61],"Lipschitz":[63],"exterior":[67],"determination":[68],"problem;":[69],"3.":[70],"utilizing":[71],"identifying":[73],"nonlocal":[74],"analogies":[75],"Alessandrini's":[77],"work":[78],"classical":[84],"Calder\u00f3n":[85],"problem.":[86],"contribution":[89],"article":[92],"is":[93],"resolution":[95],"technical":[98],"difficulties":[99],"to":[101],"last":[103],"mentioned":[104],"step.":[105],"Furthermore,":[106],"we":[107],"show":[108],"optimality":[110],"estimates,":[115],"following":[116],"earlier":[118],"works":[119],"Mandache":[121],"instability":[124],"problem,":[129],"Salo":[134],"analogous":[137],"equation.Keywordsfractional":[143],"Laplacianfractional":[144],"gradientCalder\u00f3n":[145],"problemconductivity":[146],"equationMSC":[147],"codes35R3026A3342B3746F12":[148]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}