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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems ([EBook]) / by Mourad Choulli.
Author	Choulli, Mourad
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	IX, 81 p. : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9783319336428
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-33642-8
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Cancer Research . Engineering mathematics . Mathematical Methods in Physics . Mathematics . Partial differential equations . Physics . Authors: Choulli, Mourad . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.353 .

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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

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