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

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Mathematics - Differential Equations
Inverse Problems and Carleman...

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

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.

카테고리:

Mathematics - Differential Equations

년:

2021

판:

출판사:

De Gruyter

언어:

english

페이지:

344

시리즈: