Inverse Problems and Carleman Estimates

Global Uniqueness, Global Convergence and Experimental Data
1. Auflage 2021
ISBN: 978-3-11-074541-2
Verlag: De Gruyter

Buch, Englisch, 328 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 732 g

Reihe: Inverse and ill-posed problems series

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.

Zielgruppe

Scholars, Advanced students, professionals.

Autoren/Hrsg.

Klibanov, Michael V.

Li, Jingzhi

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Über Autor(innen)

M. V. Klibanov, University of North Carolina, USA; Jingzhi Li, Southern University of Science and Technology, China.