{"id":"https://openalex.org/W2517785898","doi":"https://doi.org/10.1137/16m1056237","title":"NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered Noise","display_name":"NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered Noise","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2517785898","doi":"https://doi.org/10.1137/16m1056237","mag":"2517785898"},"language":"en","primary_location":{"id":"doi:10.1137/16m1056237","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056237","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":true,"oa_status":"green","oa_url":"https://scholars.cityu.edu.hk/en/publications/nonlocal-boundary-value-problems-of-a-stochastic-variational-ineq","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027426452","display_name":"Alain Bensoussan","orcid":"https://orcid.org/0000-0003-2465-1249"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Bensoussan","raw_affiliation_strings":["Operations Management"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Management","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071478997","display_name":"Laurent Mertz","orcid":"https://orcid.org/0000-0002-1339-1683"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Mertz","raw_affiliation_strings":["New York University**"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University**","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075984844","display_name":"Sheung Chi Phillip Yam","orcid":"https://orcid.org/0000-0002-4380-0919"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"S. C. P. Yam","raw_affiliation_strings":["Chinese University of Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3045,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8320172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"48","issue":"4","first_page":"2783","last_page":"2805"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9970999956130981,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8051948547363281},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6084641218185425},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.586426854133606},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5286743640899658},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.5278546810150146},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5200226306915283},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4912051558494568},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4797450304031372},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4231518805027008},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4180241823196411},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4148155152797699},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1011127233505249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07443109154701233}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8051948547363281},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6084641218185425},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.586426854133606},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5286743640899658},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5278546810150146},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5200226306915283},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4912051558494568},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4797450304031372},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4231518805027008},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4180241823196411},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4148155152797699},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1011127233505249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07443109154701233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/16m1056237","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056237","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"},{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/nonlocal-boundary-value-problems-of-a-stochastic-variational-ineq","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":"BENSOUSSAN, A, MERTZ, L & YAM, S C P 2016, 'Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise', SIAM Journal on Mathematical Analysis, vol. 48, no. 4, pp. 2783-2805. https://doi.org/10.1137/16M1056237","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:publications/ac21c93c-e871-43cb-ae96-886442e4aa94","is_oa":true,"landing_page_url":"https://hdl.handle.net/2031/ac21c93c-e871-43cb-ae96-886442e4aa94","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":"BENSOUSSAN, A, MERTZ, L & YAM, S C P 2016, 'Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise', SIAM Journal on Mathematical Analysis, vol. 48, no. 4, pp. 2783-2805. https://doi.org/10.1137/16M1056237","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/nonlocal-boundary-value-problems-of-a-stochastic-variational-ineq","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":"BENSOUSSAN, A, MERTZ, L & YAM, S C P 2016, 'Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise', SIAM Journal on Mathematical Analysis, vol. 48, no. 4, pp. 2783-2805. https://doi.org/10.1137/16M1056237","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1970030120","https://openalex.org/W2002417086","https://openalex.org/W2008129826","https://openalex.org/W2011433098","https://openalex.org/W2019096671","https://openalex.org/W2042348470","https://openalex.org/W2056595364","https://openalex.org/W2059646501","https://openalex.org/W2065355988","https://openalex.org/W2074793157","https://openalex.org/W2113238068","https://openalex.org/W2963183392","https://openalex.org/W2963633593"],"related_works":["https://openalex.org/W2298119490","https://openalex.org/W2901682677","https://openalex.org/W196401064","https://openalex.org/W2016693765","https://openalex.org/W2069080898","https://openalex.org/W2237950066","https://openalex.org/W1985306637","https://openalex.org/W4365137133","https://openalex.org/W2787704721","https://openalex.org/W2025228471"],"abstract_inverted_index":{"In":[0],"the":[1,24,33,36,40,72,82,117],"literature,":[2],"failure":[3],"risk":[4],"analysis":[5,118],"on":[6,13],"most":[7],"elasto-perfectly-plastic":[8],"oscillators":[9],"is":[10,20,30,113],"essentially":[11],"focused":[12],"those":[14],"excited":[15,51],"by":[16,32,52,80],"white":[17],"noise,":[18],"which":[19],"rather":[21,129],"restrictive":[22],"from":[23],"modeling":[25,47],"perspective.":[26],"Our":[27],"present":[28],"article":[29],"motivated":[31],"study":[34],"of":[35,39,42,60,75,77,119],"probability":[37],"distribution":[38],"solution":[41],"a":[43,53,58],"stochastic":[44],"variational":[45],"inequality":[46],"an":[48],"elasto-plastic":[49],"oscillator":[50],"filtered":[54],"noise.":[55],"We":[56],"introduce":[57],"class":[59],"partial":[61],"differential":[62],"equations":[63,125],"(PDEs)":[64],"with":[65],"nonlocal":[66],"Dirichlet":[67],"conditions":[68],"and":[69,88,92],"we":[70],"establish":[71],"unique":[73],"existence":[74],"solutions":[76],"these":[78],"PDEs":[79],"extending":[81],"method":[83],"developed":[84],"in":[85,126,132],"[A.":[86],"Bensoussan":[87],"J.":[89],"Turi,":[90],"Applied":[91],"Numerical":[93],"Partial":[94],"Differential":[95],"Equations,":[96],"Comput.":[97],"Methods":[98],"Appl.":[99],"Sci.":[100],"15,":[101],"Springer,":[102],"New":[103],"York,":[104],"2009,":[105],"pp.":[106],"9--23].":[107],"A":[108],"major":[109],"mathematical":[110],"challenge":[111],"here":[112],"to":[114],"carry":[115],"out":[116],"boundary":[120],"value":[121],"problems":[122],"for":[123],"elliptic":[124],"dimension":[127,133],"two":[128],"than":[130],"that":[131],"one.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
