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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.
Price: $270.00
Pages: 344
Publisher: De Gruyter
Imprint: De Gruyter
Publication Date:
07 September 2021
ISBN: 9783110745412
Format: Hardcover
M. V. Klibanov, University of North Carolina, USA; Jingzhi Li, Southern University of Science and Technology, China.