Partial Differential Equations: Theory, Numerical Methods and Ill-Posed Problems
Michael V. Klibanov
E-bok
20223 667 kr
Inverse Problems and Carleman Estimates
Global Uniqueness, Global Convergence and Experimental Data
AvMichael V. Klibanov,Jingzhi Li
Inbunden, Engelska, 2021
Del i serien Inverse and Ill-Posed Problems Series
2 645 kr
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Beskrivning
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.
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