000805948 000__ 04548cam\a2200505Mu\4500
000805948 001__ 805948
000805948 005__ 20230306143814.0
000805948 006__ m\\\\\o\\d\\\\\\\\
000805948 007__ cr\un\nnnunnun
000805948 008__ 171202s2017\\\\ja\\\\\\ob\\\\001\0\eng\d
000805948 019__ $$a1014129832
000805948 020__ $$a9784431566007$$q(electronic book)
000805948 020__ $$a4431566007$$q(electronic book)
000805948 020__ $$z9784431565987
000805948 0247_ $$a10.1007/978-4-431-56600-7
000805948 035__ $$aSP(OCoLC)on1013825366
000805948 035__ $$aSP(OCoLC)1013825366$$z(OCoLC)1014129832
000805948 040__ $$aEBLCP$$beng$$cEBLCP$$dOCLCO$$dN$T$$dGW5XE$$dLQU$$dFIE
000805948 049__ $$aISEA
000805948 050_4 $$aQA371
000805948 08204 $$a515/.357$$223
000805948 08204 $$a510
000805948 1001_ $$aBellassoued, Mourad.
000805948 24510 $$aCarleman estimates and applications to inverse problems for hyperbolic systems /$$cMourad Bellassoued, Masahiro Yamamoto.
000805948 260__ $$aTokyo :$$bSpringer,$$c2017.
000805948 300__ $$a1 online resource (267 pages)
000805948 336__ $$atext$$btxt$$2rdacontent
000805948 337__ $$acomputer$$bc$$2rdamedia
000805948 338__ $$aonline resource$$bcr$$2rdacarrier
000805948 4901_ $$aSpringer Monographs in Mathematics
000805948 504__ $$aIncludes bibliographical references and index.
000805948 5050_ $$a1. 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.
000805948 506__ $$aAccess limited to authorized users.
000805948 520__ $$aThis 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.
000805948 588__ $$aDescription based on print version record.
000805948 650_0 $$aInverse problems (Differential equations)
000805948 650_0 $$aDifferential equations, Hyperbolic.
000805948 650_0 $$aCarleman theorem.
000805948 7001_ $$aYamamoto, Masahiro.
000805948 77608 $$iPrint version:$$aBellassoued, Mourad$$tCarleman Estimates and Applications to Inverse Problems for Hyperbolic Systems$$dTokyo : Springer Tokyo,c2017$$z9784431565987
000805948 830_0 $$aSpringer monographs in mathematics.
000805948 852__ $$bebk
000805948 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-4-431-56600-7$$zOnline Access$$91397441.1
000805948 909CO $$ooai:library.usi.edu:805948$$pGLOBAL_SET
000805948 980__ $$aEBOOK
000805948 980__ $$aBIB
000805948 982__ $$aEbook
000805948 983__ $$aOnline
000805948 994__ $$a92$$bISE