Inverse problems and Carleman estimates: global uniqueness, global convergence and experimentaldData

This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems f...

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Hauptverfasser: Klibanov, Michael V. (VerfasserIn), Li, Jingzhi (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin ; Boston De Gruyter [2021]
Schriftenreihe:Inverse and ill-posed problems series Volume 63
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Zusammenfassung:This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems
Beschreibung:1 online resource (XVI, 328 Seiten)
ISBN:9783110745481
DOI:10.1515/9783110745481

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