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

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Jérôme 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 ..