Elliptic Carleman estimates and applications to stabilization and controllability. Volume I, Dirichlet boundary conditions on euclidean space
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...
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| Principais autores: | , , |
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| Formato: | Livre papier |
| Idioma: | Anglais |
| Publicado em: |
Cham :
Birkhaüser
C 2022.
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| coleção: | Progress in nonlinear differential equations and their applications. PNLDE subseries in control
volume 97 |
| Assuntos: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I, Dirichlet Boundary Conditions on Euclidean Space, by Jérôme Le Rousseau, 1st ed. 2022., 2022, Cham, Springer International Publishing, PNLDE Subseries in Control, 978-3-030-88674-5 |
Sumário:
- Introduction
- Part 1: Calculus with a Large Parameter, Carleman Estimates Derivation
- (Pseudo-)differential Operators with a Large Parameter
- Carleman Estimate for a Second-Order Elliptic Operator
- Optimality Aspects of Carleman Estimates
- Part 2: Applications of Carleman Estimates
- Unique Continuation
- Stabilization of the Wave Equation with an Inner Damping
- Controllability of Parabolic Equations
- Part 3: Background Material: Analysis and Evolution Equations
- A Short Review of Distribution Theory
- Invariance under Change of Variables
- Elliptic Operator with Dirichlet Data and Associated Semigroup
- Some Elements of Functional Analysis
- Some Elements of Semigroup Theory
- Bibliography
- Subject Index
- Index of Notation.