{"id":"https://openalex.org/W3005921603","doi":"https://doi.org/10.1007/978-3-030-40616-5_8","title":"Differential Equations and Uniqueness Theorems for the Generalized Attenuated Ray Transforms of Tensor Fields","display_name":"Differential Equations and Uniqueness Theorems for the Generalized Attenuated Ray Transforms of Tensor Fields","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3005921603","doi":"https://doi.org/10.1007/978-3-030-40616-5_8","mag":"3005921603"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-40616-5_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-40616-5_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5072091303","display_name":"E. Yu. Derevtsov","orcid":"https://orcid.org/0000-0003-2013-3380"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Evgeny Yu. Derevtsov","raw_affiliation_strings":["Novosibirsk State University, 630090, Novosibirsk, Russia","Sobolev Institute of Mathematics SB RAS, 630090, Novosibirsk, Russia"],"raw_orcid":"https://orcid.org/0000-0003-2013-3380","affiliations":[{"raw_affiliation_string":"Novosibirsk State University, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics SB RAS, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088114424","display_name":"Yu. S. Volkov","orcid":"https://orcid.org/0000-0002-7298-8578"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yuriy S. Volkov","raw_affiliation_strings":["Novosibirsk State University, 630090, Novosibirsk, Russia","Sobolev Institute of Mathematics SB RAS, 630090, Novosibirsk, Russia"],"raw_orcid":"https://orcid.org/0000-0002-7298-8578","affiliations":[{"raw_affiliation_string":"Novosibirsk State University, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics SB RAS, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083589911","display_name":"Thomas Schuster","orcid":"https://orcid.org/0000-0002-2667-8691"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Schuster","raw_affiliation_strings":["Saarland University, 66041, Saarbr\u00fccken, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2667-8691","affiliations":[{"raw_affiliation_string":"Saarland University, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072091303"],"corresponding_institution_ids":["https://openalex.org/I188973947","https://openalex.org/I4210096862"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.5023,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.90438034,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"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":0.9993000030517578,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10977","display_name":"Optical Imaging and Spectroscopy Techniques","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8336126804351807},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5818154811859131},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5316572189331055},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.47258222103118896},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.4303989112377167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3974941074848175},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3660500645637512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30095481872558594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29761409759521484},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20820316672325134},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.14953356981277466}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8336126804351807},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5818154811859131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5316572189331055},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.47258222103118896},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.4303989112377167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3974941074848175},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3660500645637512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30095481872558594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29761409759521484},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20820316672325134},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.14953356981277466}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-40616-5_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-40616-5_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W330923118","https://openalex.org/W974750761","https://openalex.org/W1658472922","https://openalex.org/W1666853924","https://openalex.org/W1967557257","https://openalex.org/W1969435387","https://openalex.org/W1978054881","https://openalex.org/W1998381888","https://openalex.org/W2001646560","https://openalex.org/W2004228917","https://openalex.org/W2012424541","https://openalex.org/W2028639695","https://openalex.org/W2044040194","https://openalex.org/W2058583833","https://openalex.org/W2065245038","https://openalex.org/W2066656250","https://openalex.org/W2086765037","https://openalex.org/W2087852172","https://openalex.org/W2092101125","https://openalex.org/W2095932986","https://openalex.org/W2108069910","https://openalex.org/W2126829454","https://openalex.org/W2127588666","https://openalex.org/W2134524183","https://openalex.org/W2261409577","https://openalex.org/W2317107851","https://openalex.org/W2488541110","https://openalex.org/W2962993693","https://openalex.org/W2963453963","https://openalex.org/W2963592573","https://openalex.org/W2964236786","https://openalex.org/W4241214195","https://openalex.org/W4299416517"],"related_works":["https://openalex.org/W2031320921","https://openalex.org/W2045956890","https://openalex.org/W2781613292","https://openalex.org/W2363405351","https://openalex.org/W2950568896","https://openalex.org/W2057255930","https://openalex.org/W2034021151","https://openalex.org/W2496563164","https://openalex.org/W4298343018","https://openalex.org/W3023270988"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}