{"id":"https://openalex.org/W4386047572","doi":"https://doi.org/10.1137/22m1500617","title":"Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator","display_name":"Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386047572","doi":"https://doi.org/10.1137/22m1500617"},"language":"en","primary_location":{"id":"doi:10.1137/22m1500617","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1500617","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/A5064361563","display_name":"Sombuddha Bhattacharyya","orcid":"https://orcid.org/0000-0002-7467-7968"},"institutions":[{"id":"https://openalex.org/I288749910","display_name":"Indian Institute of Science Education and Research, Bhopal","ror":"https://ror.org/02rb21j89","country_code":"IN","type":"education","lineage":["https://openalex.org/I288749910"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sombuddha Bhattacharyya","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Science Education and Research, Bhopal, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Science Education and Research, Bhopal, India","institution_ids":["https://openalex.org/I288749910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041581576","display_name":"Venkateswaran P. Krishnan","orcid":"https://orcid.org/0000-0002-3430-0920"},"institutions":[{"id":"https://openalex.org/I94595606","display_name":"TIFR Centre for Applicable Mathematics","ror":"https://ror.org/00dp5a155","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468","https://openalex.org/I94595606"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Venkateswaran P. Krishnan","raw_affiliation_strings":["TIFR Centre for Applicable Mathematics, Bangalore, Karnataka, India"],"affiliations":[{"raw_affiliation_string":"TIFR Centre for Applicable Mathematics, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I94595606"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012262559","display_name":"Suman Kumar Sahoo","orcid":"https://orcid.org/0000-0002-6459-1597"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Suman K. Sahoo","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Jyv\u00e4skyl\u00e4, Jyv\u00e4skyl\u00e4, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Jyv\u00e4skyl\u00e4, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064361563"],"corresponding_institution_ids":["https://openalex.org/I288749910"],"apc_list":null,"apc_paid":null,"fwci":4.3827,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.96144227,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"55","issue":"4","first_page":"4000","last_page":"4038"},"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":0.9994999766349792,"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":0.9994000196456909,"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":0.8746961951255798},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6431975364685059},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6326051354408264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6215680241584778},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.489224910736084},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4723205268383026},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4674566388130188},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46620476245880127},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.4575172960758209},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4256744980812073},{"id":"https://openalex.org/keywords/symmetric-tensor","display_name":"Symmetric tensor","score":0.42219147086143494},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.37886568903923035},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.14273247122764587},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13130316138267517}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8746961951255798},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6431975364685059},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6326051354408264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6215680241584778},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.489224910736084},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4723205268383026},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4674566388130188},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46620476245880127},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.4575172960758209},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4256744980812073},{"id":"https://openalex.org/C20178491","wikidata":"https://www.wikidata.org/wiki/Q2204117","display_name":"Symmetric tensor","level":3,"score":0.42219147086143494},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.37886568903923035},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.14273247122764587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13130316138267517},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1500617","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1500617","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":[{"id":"https://openalex.org/G4891051925","display_name":null,"funder_award_id":"CoG 770924","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"},{"id":"https://openalex.org/F4320334773","display_name":"Science for Equity, Empowerment and Development Division","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1855169650","https://openalex.org/W1866311589","https://openalex.org/W1984412855","https://openalex.org/W2021662804","https://openalex.org/W2026829358","https://openalex.org/W2030990100","https://openalex.org/W2049176462","https://openalex.org/W2054333878","https://openalex.org/W2068240129","https://openalex.org/W2076929784","https://openalex.org/W2120896968","https://openalex.org/W2126829454","https://openalex.org/W2149802694","https://openalex.org/W2154530595","https://openalex.org/W2171337489","https://openalex.org/W2326178238","https://openalex.org/W2493562759","https://openalex.org/W2592028842","https://openalex.org/W2952893287","https://openalex.org/W2962880427","https://openalex.org/W2963243051","https://openalex.org/W2964044058","https://openalex.org/W2973765856","https://openalex.org/W3000603357","https://openalex.org/W3099910518","https://openalex.org/W3103083305","https://openalex.org/W3118275965","https://openalex.org/W3206517729","https://openalex.org/W4242963984"],"related_works":["https://openalex.org/W2055544189","https://openalex.org/W2009425602","https://openalex.org/W2205786010","https://openalex.org/W3098249459","https://openalex.org/W1965338607","https://openalex.org/W2140318063","https://openalex.org/W3033184225","https://openalex.org/W3021034198","https://openalex.org/W89899354","https://openalex.org/W2066112700"],"abstract_inverted_index":{".We":[0],"study":[1,63],"an":[2],"inverse":[3,65,93],"problem":[4],"involving":[5,99],"the":[6,24,27,43,59,71],"unique":[7],"recovery":[8],"of":[9,15,26,35,45,81],"lower":[10],"order":[11,97],"anisotropic":[12],"tensor":[13,53,100],"perturbations":[14],"a":[16,20,33,36],"polyharmonic":[17,103],"operator":[18],"in":[19],"bounded":[21],"domain":[22],"from":[23],"knowledge":[25],"Dirichlet":[28],"to":[29,62,88,91],"Neumann":[30],"map":[31],"on":[32,42],"part":[34],"boundary.":[37],"The":[38,67],"uniqueness":[39,68],"proof":[40],"relies":[41],"inversion":[44,72],"generalized":[46,77],"momentum":[47],"ray":[48,106],"transforms":[49],"(MRT)":[50],"for":[51,58,76,95],"symmetric":[52],"fields,":[54],"which":[55],"we":[56,74,85],"introduce":[57],"first":[60],"time":[61],"Calder\u00f3n-type":[64],"problems.":[66],"result":[69],"and":[70,84],"formula":[73],"prove":[75],"MRT":[78],"could":[79],"be":[80,89],"independent":[82],"interest":[83],"expect":[86],"it":[87],"applicable":[90],"other":[92],"problems":[94],"higher":[96],"operators":[98],"perturbations.KeywordsCalderon":[101],"problemperturbed":[102],"operatortensor":[104],"tomographymomentum":[105],"transformsMSC":[107],"codes35R3031B2031B3035J40":[108]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}