{"id":"https://openalex.org/W1723680571","doi":"https://doi.org/10.1137/140986268","title":"Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide","display_name":"Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1723680571","doi":"https://doi.org/10.1137/140986268","mag":"1723680571"},"language":"en","primary_location":{"id":"doi:10.1137/140986268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140986268","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1306.6601","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023821627","display_name":"Mourad Choulli","orcid":"https://orcid.org/0000-0001-7427-0212"},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mourad Choulli","raw_affiliation_strings":["IECL - Institut \u00c9lie Cartan de Lorraine (Universit\u00e9 de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex\r\nIle du Saulcy - 57 045 Metz Cedex 01 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IECL - Institut \u00c9lie Cartan de Lorraine (Universit\u00e9 de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex\r\nIle du Saulcy - 57 045 Metz Cedex 01 - France)","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032812479","display_name":"Yavar Kian","orcid":"https://orcid.org/0000-0002-5588-3600"},"institutions":[{"id":"https://openalex.org/I4210160215","display_name":"Centre de Physique Th\u00e9orique","ror":"https://ror.org/052bbtn31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210098836","https://openalex.org/I4210160215"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yavar Kian","raw_affiliation_strings":["CPT - E8 Dynamique quantique et analyse spectrale (France)","CPT - Centre de Physique Th\u00e9orique - UMR 7332 (Centre de Physique Th\u00e9orique\r\nCampus de Luminy, Case 907\r\n163 Avenue de Luminy\r\n13288 Marseille cedex 9, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CPT - E8 Dynamique quantique et analyse spectrale (France)","institution_ids":[]},{"raw_affiliation_string":"CPT - Centre de Physique Th\u00e9orique - UMR 7332 (Centre de Physique Th\u00e9orique\r\nCampus de Luminy, Case 907\r\n163 Avenue de Luminy\r\n13288 Marseille cedex 9, France - France)","institution_ids":["https://openalex.org/I4210160215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038297320","display_name":"\u00c9ric Soccorsi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210160215","display_name":"Centre de Physique Th\u00e9orique","ror":"https://ror.org/052bbtn31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210098836","https://openalex.org/I4210160215"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Soccorsi","raw_affiliation_strings":["CPT - Centre de Physique Th\u00e9orique - UMR 7332 (Centre de Physique Th\u00e9orique\r\nCampus de Luminy, Case 907\r\n163 Avenue de Luminy\r\n13288 Marseille cedex 9, France - France)","CPT - E8 Dynamique quantique et analyse spectrale (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CPT - Centre de Physique Th\u00e9orique - UMR 7332 (Centre de Physique Th\u00e9orique\r\nCampus de Luminy, Case 907\r\n163 Avenue de Luminy\r\n13288 Marseille cedex 9, France - France)","institution_ids":["https://openalex.org/I4210160215"]},{"raw_affiliation_string":"CPT - E8 Dynamique quantique et analyse spectrale (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.9962,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.99137798,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"47","issue":"6","first_page":"4536","last_page":"4558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9968000054359436,"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":0.9968000054359436,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9746999740600586,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9697999954223633,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6886633038520813},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6448897123336792},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6278883814811707},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6152298450469971},{"id":"https://openalex.org/keywords/periodic-potential","display_name":"Periodic potential","score":0.5787011384963989},{"id":"https://openalex.org/keywords/waveguide","display_name":"Waveguide","score":0.5447242856025696},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5416138768196106},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5251607298851013},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.46006953716278076},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44574227929115295},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.4372161030769348},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.42358237504959106},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4159852862358093},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24610435962677002},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22487211227416992},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.19894102215766907},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13271638751029968}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6886633038520813},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6448897123336792},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6278883814811707},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6152298450469971},{"id":"https://openalex.org/C2987821966","wikidata":"https://www.wikidata.org/wiki/Q178825","display_name":"Periodic potential","level":2,"score":0.5787011384963989},{"id":"https://openalex.org/C200687136","wikidata":"https://www.wikidata.org/wiki/Q11233438","display_name":"Waveguide","level":2,"score":0.5447242856025696},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5416138768196106},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5251607298851013},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.46006953716278076},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44574227929115295},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4372161030769348},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.42358237504959106},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4159852862358093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24610435962677002},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22487211227416992},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.19894102215766907},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13271638751029968},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/140986268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140986268","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"},{"id":"pmh:oai:arXiv.org:1306.6601","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.6601","pdf_url":"https://arxiv.org/pdf/1306.6601","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00839344v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00839344","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Mathematical Analysis, 2015, 47 (6), pp.4536-4558. &#x27E8;10.1137/140986268&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1306.6601","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.6601","pdf_url":"https://arxiv.org/pdf/1306.6601","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1966293189","https://openalex.org/W1975165351","https://openalex.org/W1977876940","https://openalex.org/W1981696101","https://openalex.org/W1988234898","https://openalex.org/W1989540264","https://openalex.org/W1994913287","https://openalex.org/W1998774301","https://openalex.org/W2003308121","https://openalex.org/W2008051631","https://openalex.org/W2008370032","https://openalex.org/W2009073356","https://openalex.org/W2009700216","https://openalex.org/W2013630757","https://openalex.org/W2015877425","https://openalex.org/W2019950961","https://openalex.org/W2023638857","https://openalex.org/W2031521898","https://openalex.org/W2039214741","https://openalex.org/W2042518065","https://openalex.org/W2048546809","https://openalex.org/W2049176462","https://openalex.org/W2068576165","https://openalex.org/W2072549604","https://openalex.org/W2083453017","https://openalex.org/W2083486756","https://openalex.org/W2091104649","https://openalex.org/W2139536665","https://openalex.org/W2962743547","https://openalex.org/W2962820700","https://openalex.org/W2964236828","https://openalex.org/W3099021662"],"related_works":["https://openalex.org/W2951895762","https://openalex.org/W4361001858","https://openalex.org/W3010480982","https://openalex.org/W2260136577","https://openalex.org/W2081283632","https://openalex.org/W4224314838","https://openalex.org/W2025054344","https://openalex.org/W1997949891","https://openalex.org/W4376605046","https://openalex.org/W4221143150"],"abstract_inverted_index":{"We":[0],"prove":[1],"logarithmic":[2],"stability":[3],"in":[4,12],"the":[5,8,19,23,26],"determination":[6],"of":[7,22],"time-dependent":[9],"scalar":[10],"potential":[11],"a":[13],"$1$-periodic":[14],"quantum":[15],"cylindrical":[16],"waveguide,":[17],"from":[18],"boundary":[20],"measurements":[21],"solution":[24],"to":[25],"dynamic":[27],"Schr\u00f6dinger":[28],"equation.":[29]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
