Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
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 problem...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2016, 2016
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| Edition: | 1st ed. 2016 |
| Series: | SpringerBriefs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Preliminaries
- 2 Uniqueness of continuation and Cauchy problems
- 3 Determining the surface impedance of an obstacle from the scattering amplitude
- 4 Determining a corrosion coecient from a boundary measurement and an attenuation coecient from an internal measurement