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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems/ by Mourad Choulli.
作者:	Choulli, Mourad.
面頁冊數:	IX, 81 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-33642-8
ISBN:	9783319336428

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
Choulli, Mourad.

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems[electronic resource] /by Mourad Choulli. - 1st ed. 2016. - IX, 81 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

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.

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.

ISBN: 9783319336428

Standard No.: 10.1007/978-3-319-33642-8doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
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