Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mathematical Physics
Cover of the book Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems by Mourad Choulli, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mourad Choulli ISBN: 9783319336428
Publisher: Springer International Publishing Publication: June 3, 2016
Imprint: Springer Language: English
Author: Mourad Choulli
ISBN: 9783319336428
Publisher: Springer International Publishing
Publication: June 3, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Dynamics of Smart Systems and Structures by Mourad Choulli
Cover of the book Algorithms for Sensor Systems by Mourad Choulli
Cover of the book Practical Tools for Designing and Weighting Survey Samples by Mourad Choulli
Cover of the book Investment and Competitiveness in Africa by Mourad Choulli
Cover of the book Knowledge and Project Management by Mourad Choulli
Cover of the book Legal Scholarship as a Source of Law by Mourad Choulli
Cover of the book Disc Winds Matter by Mourad Choulli
Cover of the book Pareto-Nash-Stackelberg Game and Control Theory by Mourad Choulli
Cover of the book The Transnational Significance of the American Civil War by Mourad Choulli
Cover of the book Nordic-Iberian Cod Value Chains by Mourad Choulli
Cover of the book Advances in The Human Side of Service Engineering by Mourad Choulli
Cover of the book High-Performance AD and DA Converters, IC Design in Scaled Technologies, and Time-Domain Signal Processing by Mourad Choulli
Cover of the book Energy Performance of Buildings by Mourad Choulli
Cover of the book Acoustics and Vibration of Mechanical Structures—AVMS-2017 by Mourad Choulli
Cover of the book Mathematics Teacher Preparation in Central America and the Caribbean by Mourad Choulli
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy