Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
Choulli, Mourad
Produktnummer:
18478eb2446aa84953a42711c7356d181b
| Autor: | Choulli, Mourad |
|---|---|
| Themengebiete: | Carleman inequalities Cauchy problems Elliptic equations Inverse problems Stability partial differential equations |
| Veröffentlichungsdatum: | 14.06.2016 |
| EAN: | 9783319336411 |
| Sprache: | Englisch |
| Seitenzahl: | 81 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen