Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II : General Boundary Conditions on Riemannian Manifolds
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Overview
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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Details
- ISBN-13: 9783030886691
- ISBN-10: 3030886697
- Publisher: Birkhauser
- Publish Date: April 2022
- Dimensions: 10 x 7 x 1.19 inches
- Shipping Weight: 2.6 pounds
- Page Count: 547
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