期刊全称 | Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems | 影响因子2023 | Mourad Choulli | 视频video | | 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 |  | 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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