{"id":"https://openalex.org/W4226025495","doi":"https://doi.org/10.1137/22m1480951","title":"Recovery of Piecewise Smooth Density and Lam\u00e9 Parameters from High Frequency Exterior Cauchy Data","display_name":"Recovery of Piecewise Smooth Density and Lam\u00e9 Parameters from High Frequency Exterior Cauchy Data","publication_year":2022,"publication_date":"2022-11-21","ids":{"openalex":"https://openalex.org/W4226025495","doi":"https://doi.org/10.1137/22m1480951"},"language":"en","primary_location":{"id":"doi:10.1137/22m1480951","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1480951","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","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/A5064361563","display_name":"Sombuddha Bhattacharyya","orcid":"https://orcid.org/0000-0002-7467-7968"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sombuddha Bhattacharyya","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7467-7968","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026803226","display_name":"Maarten V. de Hoop","orcid":"https://orcid.org/0000-0002-6333-0379"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maarten V. de Hoop","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076280473","display_name":"Vitaly Katsnelson","orcid":"https://orcid.org/0000-0001-9900-0091"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vitaly Katsnelson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9900-0091","affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Gunther Uhlmann","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gunther Uhlmann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064361563"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1148741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"4","first_page":"1910","last_page":"1943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9818999767303467,"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":0.9818999767303467,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.00430000014603138,"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"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.0019000000320374966,"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/piecewise","display_name":"Piecewise","score":0.8771505355834961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6651344299316406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6107888221740723},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.561869204044342},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.559275209903717},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5371540188789368},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5195674896240234},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.5102620124816895},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5093663930892944},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5046809911727905},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.4144197106361389},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21878817677497864},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08009138703346252}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.8771505355834961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6651344299316406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6107888221740723},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.561869204044342},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.559275209903717},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5371540188789368},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5195674896240234},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5102620124816895},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5093663930892944},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5046809911727905},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.4144197106361389},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21878817677497864},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08009138703346252},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1480951","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1480951","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-135967","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=1936-4954&rft.volume=15&rft.issue=4&rft.date=2022&rft.spage=1910&rft.aulast=Bhattacharyya&rft.aufirst=Sombuddha&rft.atitle=Recovery+of+Piecewise+Smooth+Density+and+Lame+Parameters+from+High+Frequency+Exterior+Cauchy+Data&rft.title=SIAM+JOURNAL+ON+IMAGING+SCIENCES","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3083822841","display_name":null,"funder_award_id":"DMS-1815143","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5968375737","display_name":null,"funder_award_id":"1815143","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320310094","display_name":"University of Washington","ror":"https://ror.org/00cvxb145"},{"id":"https://openalex.org/F4320310133","display_name":"Rice University","ror":"https://ror.org/008zs3103"},{"id":"https://openalex.org/F4320323537","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1527142780","https://openalex.org/W1545201365","https://openalex.org/W1570665229","https://openalex.org/W1802177642","https://openalex.org/W1987982737","https://openalex.org/W2005734433","https://openalex.org/W2008051631","https://openalex.org/W2021211036","https://openalex.org/W2023326241","https://openalex.org/W2067152211","https://openalex.org/W2089786039","https://openalex.org/W2107350289","https://openalex.org/W2127436860","https://openalex.org/W2593771572","https://openalex.org/W2623908397","https://openalex.org/W2890847503","https://openalex.org/W2930009324","https://openalex.org/W2963168736","https://openalex.org/W2963607449","https://openalex.org/W2964209716","https://openalex.org/W2980087648","https://openalex.org/W3089007368","https://openalex.org/W3125296966","https://openalex.org/W4241443593","https://openalex.org/W4280650608"],"related_works":["https://openalex.org/W1431137","https://openalex.org/W8375287","https://openalex.org/W74614000","https://openalex.org/W17561276","https://openalex.org/W45494761","https://openalex.org/W21962395","https://openalex.org/W57825477","https://openalex.org/W72710707","https://openalex.org/W75546748","https://openalex.org/W28829024"],"abstract_inverted_index":{"We":[0],"consider":[1],"an":[2],"isotropic":[3],"elastic":[4,24,38],"medium":[5],"occupying":[6],"a":[7,109],"bounded":[8],"domain":[9],"$\\Omega":[10],"\\subset":[11],"{\\mathbb":[12],"R}^3$":[13],"whose":[14],"density":[15,60,92],"and":[16,45,53,61,108],"Lam\u00e9":[17,62,97],"parameters":[18,98],"are":[19,31],"piecewise":[20],"smooth.":[21],"In":[22],"the":[23,33,37,56,59,73,88,91,96],"wave":[25,39,79],"initial":[26,48],"value":[27],"inverse":[28],"problem,":[29],"we":[30,54,82],"given":[32],"solution":[34],"operator":[35],"for":[36,47],"equation,":[40],"but":[41],"only":[42,46],"outside":[43,51],"$\\Omega$":[44],"data":[49],"supported":[50],"$\\Omega$,":[52],"study":[55],"recovery":[57,89],"of":[58,90],"parameters.":[63],"For":[64],"known":[65],"density,":[66],"results":[67],"have":[68],"recently":[69],"been":[70],"obtained":[71],"using":[72,103],"scattering":[74],"control":[75],"method":[76],"to":[77,86,95,111],"recover":[78],"speeds.":[80],"Here,":[81],"extend":[83],"this":[84],"result":[85],"include":[87],"in":[93],"addition":[94],"under":[99],"certain":[100],"geometric":[101],"conditions":[102],"techniques":[104],"from":[105],"microlocal":[106],"analysis":[107],"connection":[110],"local":[112],"tensor":[113],"tomography.":[114]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-05T00:00:00"}
