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 Understanding Earth Observation by Mourad Choulli
Cover of the book Computational Methods for Molecular Imaging by Mourad Choulli
Cover of the book Anticoagulation and Hemostasis in Neurosurgery by Mourad Choulli
Cover of the book The Nanoscale Optical Properties of Complex Nanostructures by Mourad Choulli
Cover of the book International Handbook of Juvenile Justice by Mourad Choulli
Cover of the book A Guide to Integrative Pediatrics for the Healthcare Professional by Mourad Choulli
Cover of the book Global Innovation of Teaching and Learning in Higher Education by Mourad Choulli
Cover of the book Concentrating Solar Thermal Technologies by Mourad Choulli
Cover of the book Edith Stein: Women, Social-Political Philosophy, Theology, Metaphysics and Public History by Mourad Choulli
Cover of the book Hybrid Dynamical Systems by Mourad Choulli
Cover of the book Advances in Human Factors in Cybersecurity by Mourad Choulli
Cover of the book National Football League Strategies by Mourad Choulli
Cover of the book Open Problems in the Geometry and Analysis of Banach Spaces by Mourad Choulli
Cover of the book Waves in Continuous Media by Mourad Choulli
Cover of the book Experimental Perspectives on Presuppositions 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