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From the reviews:
„The book … describes a ‘fresh and promising techniques for the reconstruction of small inclusions from boundary measurements’ and the presentation is ‘intended to be self-contained’. … The problems discussed in the book are of interest both theoretically and practically. This book hopefully will stimulate the research in the area of finding small inhomogeneities from experimental data.“ (Alexander G. Ramm, Zentralblatt MATH, Vol. 1113 (15), 2007)
Reconstruction of Small Inhomogeneities from Boundary Measurements
von Habib Ammari und Hyeonbae KangThis 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.
