{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T12:37:09Z","timestamp":1764333429641,"version":"3.40.5"},"reference-count":76,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2024,6,30]]},"DOI":"10.1137\/23m1560410","type":"journal-article","created":{"date-parts":[[2024,5,2]],"date-time":"2024-05-02T08:04:11Z","timestamp":1714637051000},"page":"2863-2914","source":"Crossref","is-referenced-by-count":3,"title":["On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces"],"prefix":"10.1137","volume":"56","author":[{"given":"Beno\u00eet","family":"Bonnet-Weill","sequence":"first","affiliation":[{"name":"CNRS, LAAS, F-31400 Toulouse, France."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6237-4137","authenticated-orcid":true,"given":"H\u00e9l\u00e8ne","family":"Frankowska","sequence":"additional","affiliation":[{"name":"CNRS, IMJ-PRG, UMR, 7586, Sorbonne Universit\u00e9, 75252, Paris, France."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2024,5,2]]},"reference":[{"doi-asserted-by":"publisher","key":"ref1","DOI":"10.1007\/s00245-017-9429-x"},{"doi-asserted-by":"publisher","key":"ref2","DOI":"10.1098\/rsta.2014.0138"},{"doi-asserted-by":"publisher","key":"ref3","DOI":"10.1017\/S0308210513000085"},{"doi-asserted-by":"publisher","key":"ref4","DOI":"10.1093\/oso\/9780198502456.001.0001"},{"key":"ref5","series-title":"Lectures in Math. ETH Z\u00fcrich","volume-title":"Gradient Flows in Metric Spaces and in the Space of Probability Measures","author":"Ambrosio L.","year":"2008"},{"doi-asserted-by":"publisher","key":"ref7","DOI":"10.1137\/0328044"},{"doi-asserted-by":"publisher","key":"ref8","DOI":"10.1007\/978-3-642-69512-4"},{"volume-title":"Set-Valued Analysis","year":"1990","author":"Aubin J.-P.","key":"ref9"},{"doi-asserted-by":"publisher","key":"ref10","DOI":"10.1007\/s11228-018-0479-2"},{"doi-asserted-by":"publisher","key":"ref12","DOI":"10.1007\/s10957-021-01832-z"},{"doi-asserted-by":"publisher","key":"ref13","DOI":"10.1007\/s00526-021-02113-3"},{"doi-asserted-by":"publisher","key":"ref14","DOI":"10.1016\/j.na.2022.113133"},{"doi-asserted-by":"publisher","key":"ref15","DOI":"10.1007\/BF02411980"},{"doi-asserted-by":"publisher","key":"ref16","DOI":"10.1007\/978-3-540-34514-5"},{"doi-asserted-by":"publisher","key":"ref17","DOI":"10.1137\/22M1489137"},{"doi-asserted-by":"publisher","key":"ref18","DOI":"10.1007\/s10957-017-1149-5"},{"key":"ref19","first-page":"51","volume":"83","author":"Bonnano G.","year":"1989","journal-title":"Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8)"},{"doi-asserted-by":"publisher","key":"ref20","DOI":"10.1051\/cocv\/2019044"},{"doi-asserted-by":"publisher","key":"ref21","DOI":"10.1016\/j.na.2022.113161"},{"doi-asserted-by":"publisher","key":"ref22","DOI":"10.1016\/j.jde.2020.08.031"},{"doi-asserted-by":"publisher","key":"ref23","DOI":"10.1007\/s00245-021-09772-w"},{"doi-asserted-by":"publisher","key":"ref24","DOI":"10.1016\/j.matpur.2021.11.001"},{"doi-asserted-by":"publisher","key":"ref26","DOI":"10.1007\/s00526-018-1447-2"},{"doi-asserted-by":"publisher","key":"ref27","DOI":"10.1137\/20M1321474"},{"doi-asserted-by":"publisher","key":"ref29","DOI":"10.1007\/s004400050260"},{"doi-asserted-by":"publisher","key":"ref30","DOI":"10.1137\/19M1249461"},{"doi-asserted-by":"publisher","key":"ref31","DOI":"10.1016\/j.jcp.2019.109181"},{"doi-asserted-by":"publisher","key":"ref32","DOI":"10.1007\/s00526-021-01936-4"},{"doi-asserted-by":"publisher","key":"ref33","DOI":"10.3934\/mcrf.2013.3.447"},{"doi-asserted-by":"publisher","key":"ref34","DOI":"10.1142\/S0218202515400059"},{"doi-asserted-by":"publisher","key":"ref35","DOI":"10.1142\/S0218202517400140"},{"doi-asserted-by":"publisher","key":"ref37","DOI":"10.1137\/15M1029849"},{"doi-asserted-by":"publisher","key":"ref38","DOI":"10.1137\/060672832"},{"doi-asserted-by":"publisher","key":"ref39","DOI":"10.3934\/krm.2009.2.363"},{"doi-asserted-by":"publisher","key":"ref40","DOI":"10.1137\/090757290"},{"doi-asserted-by":"publisher","key":"ref41","DOI":"10.1137\/21M1404314"},{"doi-asserted-by":"publisher","key":"ref42","DOI":"10.1016\/j.jde.2022.03.019"},{"doi-asserted-by":"publisher","key":"ref43","DOI":"10.1007\/s11228-017-0414-y"},{"doi-asserted-by":"publisher","key":"ref44","DOI":"10.1007\/978-3-319-73441-5_21"},{"doi-asserted-by":"publisher","key":"ref45","DOI":"10.1016\/j.jmaa.2019.123437"},{"doi-asserted-by":"publisher","key":"ref46","DOI":"10.1007\/s00028-021-00724-z"},{"doi-asserted-by":"publisher","key":"ref47","DOI":"10.1007\/s00440-022-01148-7"},{"doi-asserted-by":"publisher","key":"ref48","DOI":"10.1007\/978-1-4471-4820-3"},{"doi-asserted-by":"publisher","key":"ref49","DOI":"10.1016\/j.apm.2016.12.020"},{"doi-asserted-by":"publisher","key":"ref50","DOI":"10.1090\/surv\/015"},{"doi-asserted-by":"publisher","key":"ref51","DOI":"10.1007\/s00526-008-0182-5"},{"doi-asserted-by":"publisher","key":"ref52","DOI":"10.1007\/s40304-017-0103-z"},{"volume-title":"Measure Theory and Fine Properties of Functions","year":"1992","author":"Evans L.","key":"ref53"},{"doi-asserted-by":"publisher","key":"ref54","DOI":"10.1137\/0301006"},{"doi-asserted-by":"publisher","key":"ref55","DOI":"10.1017\/S0956792519000044"},{"doi-asserted-by":"publisher","key":"ref56","DOI":"10.1098\/rsta.2013.0400"},{"doi-asserted-by":"publisher","key":"ref57","DOI":"10.1051\/cocv\/2014009"},{"doi-asserted-by":"publisher","key":"ref58","DOI":"10.1016\/0022-0396(90)90129-D"},{"key":"ref59","first-page":"1053","volume":"24","author":"Frankowska H.","year":"2023","journal-title":"Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)"},{"doi-asserted-by":"publisher","key":"ref60","DOI":"10.1016\/j.jde.2018.02.012"},{"doi-asserted-by":"publisher","key":"ref61","DOI":"10.1137\/17M1160604"},{"doi-asserted-by":"publisher","key":"ref62","DOI":"10.1016\/0362-546X(94)00299-W"},{"doi-asserted-by":"publisher","key":"ref63","DOI":"10.1006\/jdeq.1995.1036"},{"doi-asserted-by":"publisher","key":"ref64","DOI":"10.4310\/CMS.2009.v7.n2.a2"},{"doi-asserted-by":"publisher","key":"ref65","DOI":"10.1016\/0022-0396(81)90031-0"},{"volume-title":"Topological Vector Spaces and Distributions","year":"2012","author":"Horv\u00e1th J.","key":"ref66"},{"doi-asserted-by":"publisher","key":"ref67","DOI":"10.4310\/CIS.2006.v6.n3.a5"},{"doi-asserted-by":"publisher","key":"ref68","DOI":"10.1007\/s00526-020-1718-6"},{"doi-asserted-by":"publisher","key":"ref69","DOI":"10.1080\/03605302.2020.1831018"},{"key":"ref70","series-title":"Grad. Texts in Math. 27","volume-title":"General Topology","author":"Kelley J.","year":"1975"},{"doi-asserted-by":"publisher","key":"ref71","DOI":"10.1007\/s11537-007-0657-8"},{"key":"ref72","first-page":"551","volume":"24","author":"Nagumo M.","year":"1942","journal-title":"Proc. Phys.-Math. Soc. Japan (3)"},{"doi-asserted-by":"publisher","key":"ref73","DOI":"10.1081\/PDE-100002243"},{"doi-asserted-by":"publisher","key":"ref74","DOI":"10.1090\/S0002-9939-1986-0840638-3"},{"doi-asserted-by":"publisher","key":"ref75","DOI":"10.1007\/s10440-012-9771-6"},{"doi-asserted-by":"publisher","key":"ref76","DOI":"10.1137\/140996501"},{"doi-asserted-by":"publisher","key":"ref77","DOI":"10.1007\/s00030-016-0357-2"},{"doi-asserted-by":"publisher","key":"ref78","DOI":"10.1016\/j.jde.2020.03.007"},{"volume-title":"Real and Complex Analysis","year":"1987","author":"Rudin W.","key":"ref80"},{"doi-asserted-by":"publisher","key":"ref81","DOI":"10.1007\/978-3-319-20828-2"},{"doi-asserted-by":"publisher","key":"ref82","DOI":"10.1007\/978-3-540-71050-9"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,6,28]],"date-time":"2024-06-28T17:30:29Z","timestamp":1719595829000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1560410"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,2]]},"references-count":76,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,6,30]]}},"alternative-id":["10.1137\/23M1560410"],"URL":"https:\/\/doi.org\/10.1137\/23m1560410","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"type":"print","value":"0036-1410"},{"type":"electronic","value":"1095-7154"}],"subject":[],"published":{"date-parts":[[2024,5,2]]}}}