Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
General Boundary Conditions on Riemannian Manifolds
Series: Progress in Nonlinear Differential Equations and Their Applications; 98;
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Product details:
- Edition number 1st ed. 2022
- Publisher Springer International Publishing
- Date of Publication 23 April 2023
- Number of Volumes 1 pieces, Book
- ISBN 9783030886721
- Binding Paperback
- See also 9783030886691
- No. of pages547 pages
- Size 254x178 mm
- Weight 1053 g
- Language English
- Illustrations IX, 547 p. 17 illus., 9 illus. in color. Illustrations, black & white 456
Categories
Long description:
Table of Contents:
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 Spacesand Laplace Problems on a Riemannian Manifold.- Bibliography.- Index.- Index of Notation.
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