Téléchargez le livre : Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems



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Éditeur :

Springer


Collection :

SpringerBriefs in Mathematics

Paru le : 2016-06-03



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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.
Pages
81 pages
Collection
SpringerBriefs in Mathematics
Parution
2016-06-03
Marque
Springer
EAN papier
9783319336411
EAN EPUB
9783319336428
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
8
Taille du fichier
1966 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
52,74 €

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