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Titlebook: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems; Mourad Choulli Book 2016 The Author(s) 2016 Carleman inequa

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发表于 2025-3-21 18:49:34 | 显示全部楼层 |阅读模式
期刊全称Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
影响因子2023Mourad Choulli
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发行地址The book is written in a style accessible to young and experienced researchers alike.All results discussed are proved in detail.No similar work is currently available
学科分类SpringerBriefs in Mathematics
图书封面Titlebook: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems;  Mourad Choulli Book 2016 The Author(s) 2016 Carleman inequa
影响因子.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..
Pindex Book 2016
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Mourad ChoulliThe book is written in a style accessible to young and experienced researchers alike.All results discussed are proved in detail.No similar work is currently available
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Determining a Corrosion Coefficient from a Boundary Measurement and an Attenuation Coefficient frommeasurement, while in the second problem we are concerned with the determination of an attenuation coefficient from an energy density. We establish for this two inverse problems logarithmic stability estimates by using the results of Chap. .. The approach we employ is quite similar to that we used in Chap. ..
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Encyclopedia of Clinical NeuropsychologyWe collect in this preliminary chapter the function spaces and the main geometric assumptions that we will use in the coming chapters.
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