{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,28]],"date-time":"2024-06-28T18:20:57Z","timestamp":1719598857568},"reference-count":31,"publisher":"Oxford University Press (OUP)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IMA J Math Control Info"],"published-print":{"date-parts":[[2016,9]]},"DOI":"10.1093\/imamci\/dnv010","type":"journal-article","created":{"date-parts":[[2015,3,17]],"date-time":"2015-03-17T00:25:33Z","timestamp":1426551933000},"page":"791-811","source":"Crossref","is-referenced-by-count":4,"title":["Optimal distributed control of the Kuramoto\u2013Sivashinsky equation with pointwise state and mixed control-state constraints"],"prefix":"10.1093","volume":"33","author":[{"given":"Peng","family":"Gao","sequence":"first","affiliation":[]}],"member":"286","published-online":{"date-parts":[[2015,3,15]]},"reference":[{"key":"2016090600134127000_33.3.791.1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(99)00175-X"},{"key":"2016090600134127000_33.3.791.2","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012995283637"},{"key":"2016090600134127000_33.3.791.3","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012998345627"},{"key":"2016090600134127000_33.3.791.4","doi-asserted-by":"crossref","first-page":"91","DOI":"10.3934\/cpaa.2010.9.91","article-title":"Null controllability and stabilization of the linear Kuramoto\u2013Sivashinsky equation","volume":"9","author":"Cerpa","year":"2010","journal-title":"Commun. Pure Appl. Anal."},{"key":"2016090600134127000_33.3.791.5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.12.015"},{"key":"2016090600134127000_33.3.791.6","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2509(86)80033-1"},{"key":"2016090600134127000_33.3.791.7","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(99)00108-5"},{"key":"2016090600134127000_33.3.791.8","doi-asserted-by":"publisher","DOI":"10.1007\/BF02097064"},{"key":"2016090600134127000_33.3.791.9","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(74)90025-0"},{"key":"2016090600134127000_33.3.791.10","first-page":"197","article-title":"Inertial manifolds for the Kuramoto\u2013Sivashinsky equation and an estimate of their lowest dimension","volume":"67","author":"Foias","year":"1988","journal-title":"J. Math. Pures Appl."},{"key":"2016090600134127000_33.3.791.11","doi-asserted-by":"crossref","first-page":"3573","DOI":"10.1103\/PhysRevE.53.3573","article-title":"Nonlinear electrohydrodynamic waves on films falling down an inclined plane","volume":"53","author":"Gonzalez","year":"1996","journal-title":"Phys. Rev. E."},{"key":"2016090600134127000_33.3.791.12","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160470304"},{"key":"2016090600134127000_33.3.791.13","doi-asserted-by":"publisher","DOI":"10.1063\/1.865160"},{"key":"2016090600134127000_33.3.791.14","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(90)90046-R"},{"key":"2016090600134127000_33.3.791.15","doi-asserted-by":"publisher","DOI":"10.1143\/PTPS.64.346"},{"key":"2016090600134127000_33.3.791.16","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.54.687"},{"key":"2016090600134127000_33.3.791.17","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.55.356"},{"key":"2016090600134127000_33.3.791.18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.34.391"},{"key":"2016090600134127000_33.3.791.19","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-003-0783-5"},{"key":"2016090600134127000_33.3.791.20","doi-asserted-by":"crossref","first-page":"1354","DOI":"10.1137\/S0363012903431177","article-title":"Neumann boundary control of hyperbolic equations with pointwise state constraints","volume":"43","author":"Mordukhovich","year":"2005","journal-title":"SIAM J. Control Optim."},{"key":"2016090600134127000_33.3.791.21","doi-asserted-by":"publisher","DOI":"10.1080\/03605308908820597"},{"key":"2016090600134127000_33.3.791.22","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.1997.3.341"},{"key":"2016090600134127000_33.3.791.23","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012996302470"},{"key":"2016090600134127000_33.3.791.24","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2004012"},{"key":"2016090600134127000_33.3.791.25","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/dnl009"},{"key":"2016090600134127000_33.3.791.26","first-page":"65","article-title":"Compact sets in the space $L^{p}(0,T;B)$","volume":"4","author":"Simon","year":"1987","journal-title":"Ann. Mat. Pura Appl."},{"key":"2016090600134127000_33.3.791.27","doi-asserted-by":"publisher","DOI":"10.1016\/0094-5765(77)90096-0"},{"key":"2016090600134127000_33.3.791.28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2009.10.008"},{"key":"2016090600134127000_33.3.791.29","doi-asserted-by":"crossref","first-page":"1095","DOI":"10.57262\/die\/1370267723","article-title":"Estimates on the lowest dimension of inertial manifolds for the Kuramoto\u2013Sivashinsky equation in the general case","volume":"7","author":"Temam","year":"1994","journal-title":"Differential Integral Equations"},{"key":"2016090600134127000_33.3.791.30","doi-asserted-by":"publisher","DOI":"10.1080\/01630563.2012.760592"},{"key":"2016090600134127000_33.3.791.31","doi-asserted-by":"publisher","DOI":"10.3934\/mcrf.2012.2.61"}],"container-title":["IMA Journal of Mathematical Control and Information"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/academic.oup.com\/imamci\/article-pdf\/33\/3\/791\/6767136\/dnv010.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T20:57:20Z","timestamp":1691528240000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/imamci\/article-lookup\/doi\/10.1093\/imamci\/dnv010"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,15]]},"references-count":31,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2016,9,5]]},"published-print":{"date-parts":[[2016,9]]}},"alternative-id":["10.1093\/imamci\/dnv010"],"URL":"https:\/\/doi.org\/10.1093\/imamci\/dnv010","relation":{},"ISSN":["0265-0754","1471-6887"],"issn-type":[{"value":"0265-0754","type":"print"},{"value":"1471-6887","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,15]]}}}