Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems is popular PDF and ePub book, written by Mourad Choulli in 2016-06-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems can be Read Online from any device for your convenience.

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems Book PDF 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.

Detail Book of Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems PDF

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
  • Author : Mourad Choulli
  • Release : 03 June 2016
  • Publisher : Springer
  • ISBN : 9783319336428
  • Genre : Mathematics
  • Total Page : 88 pages
  • Language : English
  • PDF File Size : 10,8 Mb

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