| 书目名称 | Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems |
| 编辑 | Mourad Bellassoued,Masahiro Yamamoto |
| 视频video | |
| 概述 | Is based on elementary calculus.Provides direct proof of Carleman estimates.Is one of the few monographs on the approach using Carleman estimates.Includes supplementary material: |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. These types of inverse problems include coefficient inverse problems of determining physical parameters in inhomogeneous media that appear in many applications related to electromagnetism, elasticity, and related phenomena. Although the methodology was created in 1981 by Bukhgeim and Klibanov, its comprehensive development has been accomplished only recently. In spite of the wide applicability of the method, there are few monographs focusing on combined accounts of Carleman estimates and applications to inverse problems. The aim in this book is to fill that gap. The basic tool is Carleman estimates, the theory of which has been established within a very general framework, so that the method using Carleman estimates for inverse problems is misunderstood as being very difficult. The main pu |
| 出版日期 | Book 2017 |
| 关键词 | Cauchy problem; Riemannian geometry; coefficient invers problem; conditional stability; hand-made deriva |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-4-431-56600-7 |
| isbn_softcover | 978-4-431-56830-8 |
| isbn_ebook | 978-4-431-56600-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Japan KK 2017 |
发表于 2025-3-21 16:28:12
