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Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems (Springer Monographs in Mathematics) by Mourad Bellassoued,Masahiro Yamamoto (auth.) is a nonfiction available to read on EtoBox.

What is Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems (Springer Monographs in Mathematics) about?

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

Who reads Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems (Springer Monographs in Mathematics)?

Author

Mourad Bellassoued,Masahiro Yamamoto (auth.)

Publisher

Springer Japan : Imprint : Springer

Published

2017

Language

EN

ISBN

9784431566007

Category

nonfiction

Subjects

Mathematics, Science, Physics