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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

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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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Detail Information

Series Title

SpringerBriefs in Mathematics

Call Number

519.4 CHO a

Publisher

Cham, Switzerland : Springer Cham., 2016

Collation

IX, 81

Language

English

ISBN/ISSN

978-3-319-33642-8

Classification

519.4

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Applications of Mathematics
Mathematical and Computational Engineering

Specific Detail Info

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Statement of Responsibility

Mourad Choulli

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-33642-8.pdf?pdf=button

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