Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
1st Edition
Published on 4. September 2018
Book
Paperback/Softback
XII, 260 pages
978-4-431-56830-8 (ISBN)
Description
Is based on elementary calculus
Provides direct proof of Carleman estimates
Is one of the few monographs on the approach using Carleman estimates
Provides direct proof of Carleman estimates
Is one of the few monographs on the approach using Carleman estimates
Reviews / Votes
"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 Hao, zbMATH 1412.35002, 2019)"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 Hao, zbMATH 1412.35002, 2019)
More details
Product info
Previously published in hardcover
Series
Edition
Softcover reprint of the original 1st ed. 2017
Language
English
Place of publication
Tokyo
Japan
Target group
Professional and scholarly
Illustrations
2
5 s/w Abbildungen, 2 farbige Abbildungen
XII, 260 p. 7 illus., 2 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
417 gr
ISBN-13
978-4-431-56830-8 (9784431568308)
DOI
10.1007/978-4-431-56600-7
Schweitzer Classification
Other editions
Additional editions
Mourad Bellassoued | Masahiro Yamamoto
Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
Book
12/2017
Springer
€117.69
Shipment within 10-15 days
Content
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.