Titlebook: Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I; Dirichlet Boundary C Jér?me Le Rousseau,Gilles

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Jér?me Le Rousseau,Gilles Lebeau,Luc RobbianoExplores applications of Carleman estimates to study stabilization and controllability properties of PDEs.Covers necessary background material in detail.Complemented by a second volume that considers

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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/e/image/307769.jpg

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Dmitriy Chebanov,Natalia Mosina,Jose SalasConsider a general second-order elliptic operator . with a principal part of the form . where . with all derivatives bounded and such that ..?=?.., 1?≤?., .?≤?.. We recall that .?=??.. The elliptic operator under consideration is then . where ., 1?≤?.?≤?..

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Parameter Identification of Dynamic Systems,As in Chap. ., we consider a general second-order elliptic operator . . with principal part . where . with all derivatives bounded and such that ..?=?.., 1?≤?., .?≤?., and ., 1?≤?.?≤?.. We recall that .?=??..

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Mercedes Ayuso,Jorge Miguel BravoOn a smooth bounded open set . of ., we consider elliptic second-order operator .. given by . where . with furthermore ..?=?.., 1?≤?., .?≤?.. In addition we shall impose Dirichlet boundary conditions, that is, the trace of the solution at the boundary ..

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Marco Corazza,Stefania Funari,Riccardo GussoSemigroup theory is at the heart of the understanding of many evolution equations that can be put in the form . with .(.) and .. in a proper function space, usually a Banach space, denoted by . below, if not a Hilbert space, with . an unbounded operator on ., with dense domain, and . a function of the time variable . taking values in ..