Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

• Κύριος συγγραφέας: Choulli, Mourad (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Cancer research.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Physics.; Partial Differential Equations.; Mathematical Methods in Physics.; Cancer Research.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.

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 problem...

Πίνακας περιεχομένων:

• 1 Preliminaries
• 2 Uniqueness of continuation and Cauchy problems
• 3 Determining the surface impedance of an obstacle from the scattering amplitude
• 4 Determining a corrosion coecient from a boundary measurement and an attenuation coecient from an internal measurement.