Inverse problems and Carleman estimates : global uniqueness, global convergence and experimental data

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書誌事項

Inverse problems and Carleman estimates : global uniqueness, global convergence and experimental data

Michael V. Klibanov, Jingzhi Li

(Inverse and ill-posed problems series, v. 63)

De Gruyter, c2021

1. Aufl.

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注記

Includes bibliographical references (p. [311]-322) and index

内容説明・目次

内容説明

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.

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