Bibliograph

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli

Type

Label

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

951434404

Responsibility statement

by Mourad Choulli

Series statement

SpringerBriefs in Mathematics,, 2191-8198Springer eBooks

Summary

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.--, Provided by publisher

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

Classification

Creator