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.
年:
2021
版本:
63
出版商:
De Gruyter
語言:
english
頁數:
344
系列:
Inverse and Ill-Posed Problems Series
文件:
PDF, 6.30 MB
IPFS:
,
english, 2021
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