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Reconstruction of Small Inhomogeneities from Boundary Measurements
Habib AmmariHyeonbae Kang
出版Springer, 2004-08-30
主題Mathematics / Differential Equations / GeneralMathematics / Mathematical Analysis
ISBN35404450139783540445012
URLhttp://books.google.com.hk/books?id=mWx6CwAAQBAJ&hl=&source=gbs_api
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註釋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.