Inverse Problems and Carleman Estimates : Global Uniqueness, Global Convergence and Experimental Data
Michael V. Klibanov, Jingzhi Li

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.

Издательство:

De Gruyter

Год издания:

2021

ISBN:

978-3-1107-4541-2

ISBN:

978-3-1107-4548-1

ISBN:

978-3-1107-4555-9

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