{"title":"Controllability of the semilinear Benjamin-Bona-Mahony equation","authors":"H. Leiva, N. Merentes, J. Sánchez","doi":"10.7862/RF.2012.4","DOIUrl":null,"url":null,"abstract":"In this paper we prove the interior approximate control- lability of the following Generalized Semilinear Benjamin-Bona-Mahony type equation (BBM) with homogeneous Dirichlet boundary conditions zt a zt b z = 1!u(t;x) +f(t;z;u(t;x)); t2 (0; ); x2 ; z(t;x) = 0; t 0; x2 @ ; where a 0 and b > 0 are constants, is a domain in IR N , ! is an open","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2012.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper we prove the interior approximate control- lability of the following Generalized Semilinear Benjamin-Bona-Mahony type equation (BBM) with homogeneous Dirichlet boundary conditions zt a zt b z = 1!u(t;x) +f(t;z;u(t;x)); t2 (0; ); x2 ; z(t;x) = 0; t 0; x2 @ ; where a 0 and b > 0 are constants, is a domain in IR N , ! is an open
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