Inverse Problems and Carleman Estimates: Global Uniqueness, Global Convergence and Experimental Data
Sep 2021 · Inverse and Ill-Posed Problems Series Book 63 · Walter de Gruyter GmbH & Co KG
Ebook
344
Pages
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About this ebook
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.
About the author
M. V. Klibanov, University of North Carolina, USA; Jingzhi Li, Southern University of Science and Technology, China.
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