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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Reconstruction of Small Inhomogeneities from Boundary Measurements ([EBook] /) / by Habib Ammari, Hyeonbae Kang.
Author	Ammari, Habib
Added Personal Name	Kang, Hyeonbae author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2004.
Physical Details	X, 242 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1846
ISBN	9783540445012
Summary Note	This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.:
Contents note	Introduction -- Part I: Detection of Small Conductivity Inclusions; Transmission Problem; Generalized Polarization Tensors; Derivation of the Full Asymptotic Formula; Detection of Inclusions -- Part II: Detection of Small Elastic Inclusions; Transmission Problem for Elastostatics; Elastic Moment Tensor; Derivation of Small Asymptotic Expansions; Detections of Inclusions -- Part III: Detection of Small Electromagnetic Inclusions; Well-Posedness; Representation of Solutions; Derivation of Asymptotic Formulae; Reconstruction Algorithms -- Appendices -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b98245
Links to Related Works	Subject References: Mathematics . Partial differential equations . Authors: Ammari, Habib . Kang, Hyeonbae . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.353 .

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Reconstruction of Small Inhomogeneities from Boundary Measurements

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