{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T00:43:56Z","timestamp":1755218636995,"version":"3.43.0"},"reference-count":25,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"name":"Jiangsu Provincial Scientific Research Center of Applied Mathematics","award":["BK20233002"],"award-info":[{"award-number":["BK20233002"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12471395","12241102","12071072"],"award-info":[{"award-number":["12471395","12241102","12071072"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Math."],"published-print":{"date-parts":[[2025,8,31]]},"DOI":"10.1137\/25m1731873","type":"journal-article","created":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T08:00:42Z","timestamp":1754467242000},"page":"1572-1595","source":"Crossref","is-referenced-by-count":0,"title":["Enhanced Inversion of Nonsmooth Initial Status for the Convection-Diffusion Equation Utilizing Multitemporal Observations"],"prefix":"10.1137","volume":"85","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-9441-3080","authenticated-orcid":true,"given":"Jiahao","family":"Hu","sequence":"first","affiliation":[{"name":"School of Mathematics, Southeast University, Nanjing 210096, People\u2019s Republic of China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4279-2117","authenticated-orcid":true,"given":"Jijun","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics, Southeast University, Nanjing 210096, People\u2019s Republic of China, and Nanjing Center for Applied Mathematics, Nanjing 211135, People\u2019s Republic of China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9288-3856","authenticated-orcid":true,"given":"Haibing","family":"Wang","sequence":"additional","affiliation":[{"name":"Corresponding author. School of Mathematics, Southeast University, Nanjing 210096, People\u2019s Republic of China, and Nanjing Center for Applied Mathematics, Nanjing 211135, People\u2019s Republic of China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Min","family":"Zhong","sequence":"additional","affiliation":[{"name":"School of Mathematics, Southeast University, Nanjing 210096, People\u2019s Republic of China, and Nanjing Center for Applied Mathematics, Nanjing 211135, People\u2019s Republic of China."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2025,8,6]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974546"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/ace548"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:1997113"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1515\/jiip-2019-0079"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1515\/9783110282269"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.3934\/ipi.2019035"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20045"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1002\/qj.2002"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/080725891"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050073"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxp026"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-51658-5"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2010.02.022"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-52462-7"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(99)00143-0"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1364\/BOE.10.002684"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-015-0150-0"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1515\/jiip-2014-0034"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1088\/978-0-7503-1218-9"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1175\/2008JPO3880.1"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.11.020"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1515\/jiip-2017-0024"},{"key":"ref25","first-page":"757","volume":"32","author":"Wang G.","year":"2017","journal-title":"Adv. Earth Sci."},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/140974237"}],"container-title":["SIAM Journal on Applied Mathematics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T08:00:43Z","timestamp":1754467243000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/25M1731873"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,6]]},"references-count":25,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,8,31]]}},"alternative-id":["10.1137\/25M1731873"],"URL":"https:\/\/doi.org\/10.1137\/25m1731873","relation":{},"ISSN":["0036-1399","1095-712X"],"issn-type":[{"type":"print","value":"0036-1399"},{"type":"electronic","value":"1095-712X"}],"subject":[],"published":{"date-parts":[[2025,8,6]]}}}