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Titlebook: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems; Mourad Bellassoued,Masahiro Yamamoto Book 2017 Springer Ja

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書目名稱Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
編輯Mourad Bellassoued,Masahiro Yamamoto
視頻videohttp://file.papertrans.cn/223/222132/222132.mp4
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:
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems;  Mourad Bellassoued,Masahiro Yamamoto Book 2017 Springer Ja
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
關(guān)鍵詞Cauchy problem; Riemannian geometry; coefficient invers problem; conditional stability; hand-made deriva
版次1
doihttps://doi.org/10.1007/978-4-431-56600-7
isbn_softcover978-4-431-56830-8
isbn_ebook978-4-431-56600-7Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Japan KK 2017
The information of publication is updating

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Carleman Estimate for the Wave Equation on a Riemannian Manifold,leman estimate holds in the whole cylindrical domain . independently of the level set generated by a weight function. The proof is direct, relying on the calculus of tensor fields on a Riemannian manifold.
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Inverse Problems for Wave Equations on a Riemannian Manifold,nt data on a lateral boundary. This problem is of interest to many researchers working in various applied fields. For example, we can mention inverse problems related to non-destructive testing techniques and the geophysical problem of finding properties of geophysical media by observations of wave
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Book 2017ferential 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 coefficie
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AgBr: lattice parameters, bond length,In this chapter, we will consider the initial-boundary value problem for the wave equation on a manifold with boundary. The initial-boundary value problem corresponds to the elliptic operator . introduced in Chap.?.. We will develop a standard approach to prove the existence and uniqueness of solutions and to study their regularity proprieties.
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