{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:26:03Z","timestamp":1787322363469,"version":"build-2736575974"},"reference-count":29,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:p>In this paper we discuss the observability estimates and the null controllability of forward and backward linear stochastic Kuramoto--Sivashinsky equations with random noise. The key point is to establish the Carleman estimates for stochastic fourth order forward and backward parabolic equations.<\/jats:p>","DOI":"10.1137\/130943820","type":"journal-article","created":{"date-parts":[[2015,2,10]],"date-time":"2015-02-10T11:03:35Z","timestamp":1423566215000},"page":"475-500","source":"Crossref","is-referenced-by-count":43,"title":["Observability Estimates and Null Controllability for Forward and Backward Linear Stochastic Kuramoto--Sivashinsky Equations"],"prefix":"10.1137","volume":"53","author":[{"given":"Peng","family":"Gao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mo","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,2,10]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.54.687"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1143\/PTPS.64.346"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.55.356"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/0094-5765(77)90096-0"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2509(86)80033-1"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1063\/1.865160"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.34.391"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/050641508"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.12.015"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2012.716589"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.53.3573"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-003-0781-7"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-007-9029-2"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2005.02.006"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.11650\/twjm\/1500406835"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1137\/110830964"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/070685786"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/28\/4\/045008"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-002-0757-z"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2013.06.021"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160470304"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.4464"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.3810"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.54.3577"},{"key":"atypb25","unstructured":"M. Renardy and R.C. Rogers,\n                      An Introduction to Partial Differential Equations\n                      , 2nd ed., Texts Appl. Math. 13, Springer-Verlag, New York, 2004."},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/29\/9\/095011"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/130910373"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972714000276"},{"key":"atypb29","unstructured":"J. Yong and X.Y. Zhou,\n                      Stochastic Controls: Hamiltonian Systems and HJB Equations\n                      , Springer-Verlag, New York, 1999."}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/130943820","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:21:06Z","timestamp":1787318466000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/130943820"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["10.1137\/130943820"],"URL":"https:\/\/doi.org\/10.1137\/130943820","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1]]}}}