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Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems (Record no. 427371)

000 -LEADER
fixed length control field 05123nam a22005655i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9784431566007
-- 978-4-431-56600-7
024 7# -
-- 10.1007/978-4-431-56600-7
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA370-380
072 #7 -
-- PBKJ
-- bicssc
072 #7 -
-- MAT007000
-- bisacsh
072 #7 -
-- PBKJ
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bellassoued, Mourad.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
Medium [electronic resource] /
Statement of responsibility, etc by Mourad Bellassoued, Masahiro Yamamoto.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Tokyo :
Name of producer, publisher, distributor, manufacturer Springer Japan :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture 2017.
300 ## -
-- XII, 260 p. 7 illus., 2 illus. in color.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Springer Monographs in Mathematics,
-- 1439-7382
505 0# -
-- 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.
520 ## -
-- 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 purpose of the book is to provide an accessible approach to the methodology. To accomplish that goal, the authors include a direct derivation of Carleman estimates, the derivation being based essentially on elementary calculus working flexibly for various equations. Because the inverse problem depends heavily on respective equations, too general and abstract an approach may not be balanced. Thus a direct and concrete means was chosen not only because it is friendly to readers but also is much more relevant. By practical necessity, there is surely a wide range of inverse problems and the method delineated here can solve them. The intention is for readers to learn that method and then apply it to solving new inverse problems.
650 #0 -
-- Differential equations, partial.
650 #0 -
-- Functional analysis.
650 #0 -
-- Global differential geometry.
650 #0 -
-- Cell aggregation
-- Mathematics.
650 14 -
-- Partial Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12155
650 24 -
-- Functional Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12066
650 24 -
-- Differential Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M21022
650 24 -
-- Manifolds and Cell Complexes (incl. Diff.Topology).
-- http://scigraph.springernature.com/things/product-market-codes/M28027
650 24 -
-- Mathematical Physics.
-- http://scigraph.springernature.com/things/product-market-codes/M35000
700 1# -
-- Yamamoto, Masahiro.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9784431565987
776 08 -
-- Printed edition:
-- 9784431565994
776 08 -
-- Printed edition:
-- 9784431568308
830 #0 -
-- Springer Monographs in Mathematics,
-- 1439-7382
856 40 -
-- https://doi.org/10.1007/978-4-431-56600-7
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

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