Inverse Problems and Carleman Estimates: Global Uniqueness,...

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Inverse Problems and Carleman...

Inverse Problems and Carleman Estimates: Global Uniqueness, Global Convergence and Experimental Data

Name: Inverse Problems and Carleman Estimates: Global Uniqueness, Global Convergence and Experimental Data
ISBN: 9783110745559

Michael V. Klibanov, Jingzhi Li

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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.

Kategorie:

Mathematics

Tom:

Rok:

2021

Wydawnictwo:

De Gruyter

Język:

english

Strony:

344

ISBN 10: