{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T05:08:41Z","timestamp":1778562521908,"version":"3.51.4"},"reference-count":44,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2110263"],"award-info":[{"award-number":["DMS-2110263"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2111315"],"award-info":[{"award-number":["DMS-2111315"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1913004"],"award-info":[{"award-number":["DMS-1913004"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-22-1-0248"],"award-info":[{"award-number":["FA9550-22-1-0248"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-24-1-2147"],"award-info":[{"award-number":["N00014-24-1-2147"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100003187","name":"National Sleep Foundation","doi-asserted-by":"publisher","award":["DMS-2044898"],"award-info":[{"award-number":["DMS-2044898"]}],"id":[{"id":"10.13039\/100003187","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100003187","name":"National Sleep Foundation","doi-asserted-by":"publisher","award":["DMS-2219384"],"award-info":[{"award-number":["DMS-2219384"]}],"id":[{"id":"10.13039\/100003187","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["579261"],"award-info":[{"award-number":["579261"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2024,4,30]]},"DOI":"10.1137\/22m1520876","type":"journal-article","created":{"date-parts":[[2024,3,4]],"date-time":"2024-03-04T09:07:13Z","timestamp":1709543233000},"page":"1903-1935","source":"Crossref","is-referenced-by-count":5,"title":["Nonlocal Bounded Variations with Applications"],"prefix":"10.1137","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6641-1449","authenticated-orcid":true,"given":"Harbir","family":"Antil","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences and the Center for Mathematics and Artificial Intelligence MAI, George Mason University, Fairfax, VA 22030 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hugo","family":"D\u00edaz","sequence":"additional","affiliation":[{"name":"Department for Mathematical Sciences, University of Delaware, Newark, DE 19716 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9283-4242","authenticated-orcid":true,"given":"Tian","family":"Jing","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9242-1782","authenticated-orcid":true,"given":"Armin","family":"Schikorra","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15261 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2024,3,4]]},"reference":[{"key":"ref1","first-page":"182\u2013193","volume":"29","author":"Lions F. Catte, P.-L.","year":"1992","journal-title":"SIAM J. Numer. Anal."},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1515\/cmam-2017-0039"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drac029"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1088\/2632-2153\/aba8e7"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973488"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-13797-1"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2022.112926"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1142\/S0219891614500209"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/060660564"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20331"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1023\/B:JMIV.0000011321.19549.88"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-010-0251-1"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:1997113"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s13540-022-00036-0"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2019.03.011"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s13163-022-00429-y"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.2140\/apde.2011.4.149"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2011.12.004"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202512500546"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971088"},{"key":"ref21","series-title":"Chicago Lectures in Mathematics","volume-title":"Infinite-dimensional Optimization and Convexity","author":"Ekeland I.","year":"1983"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1201\/b18333"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/060669358"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139903422784"},{"key":"ref25","first-page":"20160919","volume":"473","author":"Hinterm\u00fcller M.","year":"2017","journal-title":"Proc. A."},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1080\/07362994.2015.1077715"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1959-0107788-4"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/ac9805"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-018-0785-1"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2018.10.017"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1391192693"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1142\/p614"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2018.03.016"},{"key":"ref35","author":"Mironescu P.","year":"2005","journal-title":"Lecture"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1142\/S0219199722500584"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.57262\/die\/1423055234"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-015-0913-3"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.4171\/rmi\/937"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1515\/acv-2014-0009"},{"key":"ref43","first-page":"115","volume-title":"Contributions of Mexican mathematicians abroad in pure and applied mathematics. Second meeting \u201cMatem\u00e1ticos Mexicanos en el Mundo\u201d, Centro de Investigaci\u00f3n en Matem\u00e1ticas","author":"Torres M.","year":"2014"},{"key":"ref44","first-page":"1242","volume":"220","author":"Weiss C. J.","year":"2020","journal-title":"Geophys. J. Int."},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1145\/3439429"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-2014-06088-1"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,4,30]],"date-time":"2024-04-30T19:38:08Z","timestamp":1714505888000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1520876"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,4]]},"references-count":44,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,4,30]]}},"alternative-id":["10.1137\/22M1520876"],"URL":"https:\/\/doi.org\/10.1137\/22m1520876","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3,4]]}}}