Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems By Mourad ChoulliEnglish | PDF | 2016 | 88 Pages | ISBN : 331933641X | 1.21 MB
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.