Inverse Problems and Carleman Estimates: Global Uniqueness, Global Convergence and Experimental Data (Inverse and Ill-Posed Problems Series, 63)

Inverse Problems and Carleman Estimates: Global Uniqueness, Global Convergence and Experimental Data (Inverse and Ill-Posed Problems Series, 63)
by: Michael V. Klibanov (Author),Jingzhi Li(Author)
Publisher: De Gruyter
Edition: 1st
Publication Date: 2021/9/7
Language: English
Print Length: 344 pages
ISBN-10: 3110745410
ISBN-13: 9783110745412
Book Description
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
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. Read more