Is based on elementary calculus
Provides direct proof of Carleman estimates
Is one of the few monographs on the approach using Carleman estimates
Rezensionen / Stimmen
"The book under review is devoted to Carleman estimates and their applications to get stability estimates for inverse problems of determining spatially varying coefficients or source terms in hyperbolic systems with finitely many measurements. . This is a nice book on applications of Carleman estimates to inverse problems for hyperbolic systems." (Dinh Nho Hào, zbMATH 1412.35002, 2019)
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Illustrationen
2
5 s/w Abbildungen, 2 farbige Abbildungen
XII, 260 p. 7 illus., 2 illus. in color.
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 21 mm
Gewicht
ISBN-13
978-4-431-56598-7 (9784431565987)
DOI
10.1007/978-4-431-56600-7
Schweitzer Klassifikation
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.
