Carleman estimates and applications to inverse problems for hyperbolic systems. (2017)

• Record Type: Book
• Further Information: Note: Mourad Bellassoued, Masahiro Yamamoto.
• Authors: Bellassoued, Mourad; Yamamoto, Masahiro
• Contents: 1. Basics of Carleman estimates.- 2. Basic tools of Riemannian geometry.- 3. Well-posedness and regularity of the wave equation with variable coefficients.- 4. Carleman estimate of the wave equation in a Riemannian manifold.- 5. Inverse problem and Exact controllability for the wave equation in a Riemannian manifold.- 6. Carleman estimates for some thermoelasticity systems.- 7. Inverse heat source problem for the thermoelasticity system with variable coefficients.- 8. New realization of the pseudoconvexity.- 9. Stability in an inverse problem for a hyperbolic equation with a finite set of boundary data.- 10. Global Carleman estimate for the Laplace-Beltrami operator with an extra elliptic variable and applications.
• Publisher Details: Tokyo : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource (260 pages)
• Subjects: 515/.357; Inverse problems (Differential equations); Differential equations, Hyperbolic; Carleman theorem; Carleman theorem; Differential equations, Hyperbolic; Inverse problems (Differential equations)
• Languages: English
• ISBNs: 9784431566007
• Related ISBNs: 9784431565987
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.