Non-Fiction Books:

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

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Description

This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems. Based on elementary Carleman inequalities, it establishes three-ball inequalities, which are the key to deriving logarithmic stability estimates for elliptic Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems.  The book presents three inverse problems, the first of which consists in determining the surface impedance of an obstacle from the far field pattern. The second problem investigates the detection of corrosion by electric measurement, while the third concerns the determination of an attenuation coefficient from internal data, which is motivated by a problem encountered in biomedical imaging.
Release date Australia
June 14th, 2016
Audience
  • Professional & Vocational
Edition
1st ed. 2016
Illustrations
IX, 81 p.
Pages
81
Dimensions
155x235x5
ISBN-13
9783319336411
Product ID
25163477

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