{"id":"https://openalex.org/W4379987455","doi":"https://doi.org/10.1137/22m1499881","title":"On an Inverse Problem for the Plate Equation with Passive Measurement","display_name":"On an Inverse Problem for the Plate Equation with Passive Measurement","publication_year":2023,"publication_date":"2023-06-09","ids":{"openalex":"https://openalex.org/W4379987455","doi":"https://doi.org/10.1137/22m1499881"},"language":"en","primary_location":{"id":"doi:10.1137/22m1499881","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1499881","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":true,"oa_status":"green","oa_url":"https://scholars.cityu.edu.hk/en/publications/on-an-inverse-problem-for-the-plate-equation-with-passive-measure","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033610300","display_name":"Yixian Gao","orcid":"https://orcid.org/0000-0002-9800-7520"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yixian Gao","raw_affiliation_strings":["School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin 130024, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025082141","display_name":"Hongyu Liu","orcid":"https://orcid.org/0000-0002-2930-3510"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hongyu Liu","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2930-3510","affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yang Liu","orcid":"https://orcid.org/0000-0002-2930-3510"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2930-3510","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033610300"],"corresponding_institution_ids":["https://openalex.org/I184983240"],"apc_list":null,"apc_paid":null,"fwci":3.1468,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.92143876,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"83","issue":"3","first_page":"1196","last_page":"1214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987999796867371,"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":0.996399998664856,"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/inverse-problem","display_name":"Inverse problem","score":0.6587057113647461},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5966408848762512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5818822979927063},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5484408736228943},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5465195178985596},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.46710291504859924},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4472115635871887},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3750068247318268},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18201297521591187},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12388813495635986}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6587057113647461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5966408848762512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5818822979927063},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5484408736228943},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5465195178985596},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46710291504859924},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4472115635871887},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3750068247318268},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18201297521591187},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12388813495635986},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1499881","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1499881","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"},{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/on-an-inverse-problem-for-the-plate-equation-with-passive-measure","pdf_url":null,"source":{"id":"https://openalex.org/S7407055387","display_name":"CityU Scholars","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gao, Y, Liu, H & Liu, Y 2023, 'ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT', SIAM Journal on Applied Mathematics, vol. 83, no. 3, pp. 1196-1214. https://doi.org/10.1137/22M1499881","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/9721ebf8-7e37-41c5-b9ed-bff5016e0be5","is_oa":true,"landing_page_url":"https://hdl.handle.net/2031/9721ebf8-7e37-41c5-b9ed-bff5016e0be5","pdf_url":null,"source":{"id":"https://openalex.org/S7407055387","display_name":"CityU Scholars","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gao, Y, Liu, H & Liu, Y 2023, 'ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT', SIAM Journal on Applied Mathematics, vol. 83, no. 3, pp. 1196-1214. https://doi.org/10.1137/22M1499881","raw_type":"article"}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/on-an-inverse-problem-for-the-plate-equation-with-passive-measure","pdf_url":null,"source":{"id":"https://openalex.org/S7407055387","display_name":"CityU Scholars","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gao, Y, Liu, H & Liu, Y 2023, 'ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT', SIAM Journal on Applied Mathematics, vol. 83, no. 3, pp. 1196-1214. https://doi.org/10.1137/22M1499881","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3965116278","display_name":null,"funder_award_id":"2020YFA0714012","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G6298687498","display_name":null,"funder_award_id":"N_CityU101/21","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8161327487","display_name":null,"funder_award_id":"12071065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8469250224","display_name":null,"funder_award_id":"11871140","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1728029979","https://openalex.org/W1855169650","https://openalex.org/W2055403345","https://openalex.org/W2493562759","https://openalex.org/W2775956171","https://openalex.org/W2792418855","https://openalex.org/W2898902201","https://openalex.org/W2911513639","https://openalex.org/W2948586430","https://openalex.org/W2962819179","https://openalex.org/W2963524091","https://openalex.org/W2963610527","https://openalex.org/W2964044058","https://openalex.org/W2986054235","https://openalex.org/W2999760829","https://openalex.org/W3043580777","https://openalex.org/W3046104424","https://openalex.org/W3098597979","https://openalex.org/W3101838484","https://openalex.org/W3105765086","https://openalex.org/W3105817840","https://openalex.org/W3214425435","https://openalex.org/W4288652121"],"related_works":["https://openalex.org/W2031561209","https://openalex.org/W2529287984","https://openalex.org/W2058166223","https://openalex.org/W2146284271","https://openalex.org/W2412659219","https://openalex.org/W3005696751","https://openalex.org/W2341496509","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W1970914699"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,48,55],"an":[4],"inverse":[5],"problem":[6],"associated":[7],"with":[8],"the":[9,24,32,36,40,49],"plate":[10],"equation":[11],"which":[12],"is":[13],"derived":[14],"from":[15,39],"models":[16],"in":[17,28],"fluid":[18],"mechanics":[19],"and":[20,35,52,63],"elasticity.":[21],"We":[22],"establish":[23],"unique":[25],"identifying":[26],"results":[27],"simultaneously":[29],"determining":[30],"both":[31],"unknown":[33],"density":[34],"internal":[37],"sources":[38],"passive":[41],"boundary":[42],"measurement.":[43],"The":[44],"proof":[45],"mainly":[46],"relies":[47],"asymptotic":[50],"analysis":[51,54],"harmonic":[53],"integral":[56],"transforms.":[57],"\u00a9":[58],"2023":[59],"Society":[60],"for":[61],"Industrial":[62],"Applied":[64],"Mathematics":[65],"Publications.":[66],"All":[67],"rights":[68],"reserved.":[69]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}