Elliptic Carleman Estimates and Applications to Stabilization and Controllability: General Boundary Conditions on Riemannian Manifolds (2) - Couverture rigide
Synopsis
Introduction.- Part 1: General Boundary Conditions.- Lopatinskii-Sapiro Boundary Conditions.- Fredholm Properties of Second-Order Elliptic Operators.- Selfadjoint Operators under General Boundary Conditions.- Part 2: Carleman Estimates on Riemannian Manifolds.- Estimates on Riemannian Manifolds for Dirichlet Boundary Conditions.- Pseudo-Differential Operators on a Half-Space.- Sobolev Norms with a Large Parameter on a Manifold.- Estimates for General Boundary Conditions.- Part 3: Applications.- Quantified Unique Continuation on a Riemannian Manifold.- Stabilization of Waves under Neumann Boundary Damping.- Spectral Inequality for General Boundary Conditions and Applications.- Part 4: Further Aspects of Carleman Estimates.- Carleman Estimates with Source Terms of Weaker Regularity.- Optimal Estimates at the Boundary.- Background Material: Geometry.- Elements of Differential Geometry.- Integration and Differential Operators on Manifolds.- Elements of Riemannian Geometry.- Sobolev Spaces and Laplace Problems on a Riemannian Manifold.- Bibliography.- Index.- Index of Notation.
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
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Springer International Publishing Apr 2022, 2022
ISBN 10 : 3030886697
ISBN 13 : 9783030886691
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions.The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami operator, followed by derivation of Carleman estimates for this operator on Riemannian manifolds. Applications of Carleman estimates are explored next: quantified unique continuation issues, a proof of the logarithmic stabilization of the boundary-damped wave equation, and a spectral inequality with general boundary conditions to derive the null-controllability result for the heat equation. Two additional chapters consider some more advanced results on Carleman estimates. The final part of the book is devoted to exposition of some necessary background material: elements of differential and Riemannian geometry, and Sobolev spaces and Laplace problems on Riemannian manifolds. 560 pp. Englisch. N° de réf. du vendeur 9783030886691
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II : General Boundary Conditions on Riemannian Manifolds
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ISBN 10 : 3030886697
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Etat : Hervorragend. Zustand: Hervorragend | Seiten: 560 | Sprache: Englisch | Produktart: Bücher | This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions.The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami operator, followed by derivation of Carleman estimates for this operator on Riemannian manifolds. Applications of Carleman estimates are explored next: quantified unique continuation issues, a proof of the logarithmic stabilization of the boundary-damped wave equation, and a spectral inequality with general boundary conditions to derive the null-controllability result for the heat equation. Two additional chapters consider some more advanced results on Carleman estimates. The final part of the book is devoted to exposition of some necessary background material: elements of differential and Riemannian geometry, and Sobolev spaces and Laplace problems on Riemannian manifolds. N° de réf. du vendeur 38669111/1
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II (Hardcover)
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Hardcover. Etat : new. Hardcover. This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions.The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami operator, followed by derivation of Carleman estimates for this operator on Riemannian manifolds. Applications of Carleman estimates are explored next: quantified unique continuation issues, a proof of the logarithmic stabilization of the boundary-damped wave equation, and a spectral inequality with general boundary conditions to derive the null-controllability result for the heat equation. Two additional chapters consider some more advanced results on Carleman estimates. The final part of the book is devoted to exposition of some necessary background material: elements of differential and Riemannian geometry, and Sobolev spaces and Laplace problems on Riemannian manifolds. This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783030886691
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
Edité par
Springer Nature Switzerland AG, CH, 2022
ISBN 10 : 3030886697
ISBN 13 : 9783030886691
Neuf
Couverture rigide
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
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ISBN 10 : 3030886697
ISBN 13 : 9783030886691
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Explores applications of Carleman estimates to study stabilization and controllability properties of PDEsCovers all necessary background material in detailComplemented by a second volume that extends treatment to Riemannian manifolds. N° de réf. du vendeur 506747903
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II: General Boundary Conditions on Riemannian Manifolds . Equations and Their Applications, 98)
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 560 pp. Englisch. N° de réf. du vendeur 9783030886691
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