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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (Paperback, 1st ed. 2016)
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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (Paperback, 1st ed. 2016)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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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.
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