Reconstruction of Small Inhomogeneities from Boundary Measurements (Lecture Notes in Mathematics, 1846) - Softcover

Ammari, Habib; Kang, Hyeonbae

 
9783540224839: Reconstruction of Small Inhomogeneities from Boundary Measurements (Lecture Notes in Mathematics, 1846)

Synopsis

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.

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From the Back Cover

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.

"About this title" may belong to another edition of this title.