書目名稱 | Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I | 副標題 | Dirichlet Boundary C | 編輯 | Jér?me Le Rousseau,Gilles Lebeau,Luc Robbiano | 視頻video | http://file.papertrans.cn/308/307769/307769.mp4 | 概述 | Explores 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 | 叢書名稱 | Progress in Nonlinear Differential Equations and Their Applications | 圖書封面 |  | 描述 | This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.? All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to Riemannian manifolds..The first three chapters illustrate the derivation of Carleman estimates using pseudo-differential calculus with a large parameter.? Continuation issues are then addressed, followed by a proof of the logarithmic stabilization of the damped wave equation by means of two alternative proofs of the resolvent estimate for the generator of a damped wave semigroup.? The authors then discuss null-controllability of the heat equation, its equivalence with observability, and how the spectral inequality allows one to either construct a control function or prove the observability inequality.? The final part of the book is devoted to the exposition of some necessary background material: the theory of distributions, invariance under change of variables, elliptic operators with Dirichlet d | 出版日期 | Book 2022 | 關(guān)鍵詞 | Elliptic Carleman Estimates; Stabilization and Controllability properties of PDEs; Quantified unique c | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-88674-5 | isbn_softcover | 978-3-030-88676-9 | isbn_ebook | 978-3-030-88674-5Series ISSN 1421-1750 Series E-ISSN 2374-0280 | issn_series | 1421-1750 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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書目名稱Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I被引頻次 
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書目名稱Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I讀者反饋 
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