Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (SpringerBriefs in Mathematics) - Tapa blanda

Libro 74 de 155: SpringerBriefs in Mathematics

Choulli, Mourad

 
9783319336411: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (SpringerBriefs in Mathematics)
Tapa blanda
ISBN 10: 331933641X ISBN 13: 9783319336411
Editorial: Springer, 2016

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
331933641X
ISBN 13 
9783319336411
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
92
Contacto del fabricante
no disponible
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