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.
About the author
M. V. Klibanov, University of North Carolina, USA; Jingzhi Li, Southern University of Science and Technology, China.
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Language English ● Format EPUB ● Pages 344 ● ISBN 9783110745559 ● File size 49.8 MB ● Publisher De Gruyter ● City Berlin/Boston ● Published 2021 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 8173137 ● Copy protection Adobe DRM
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