M
Michael V. Klibanov
Researcher at University of North Carolina at Charlotte
Publications - 267
Citations - 7040
Michael V. Klibanov is an academic researcher from University of North Carolina at Charlotte. The author has contributed to research in topics: Inverse problem & Inverse scattering problem. The author has an hindex of 42, co-authored 245 publications receiving 6166 citations. Previous affiliations of Michael V. Klibanov include University of North Carolina at Chapel Hill & Chalmers University of Technology.
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Book
Carleman Estimates for Coefficient Inverse Problems and Numerical Applications
TL;DR: In this article, the main subject of the author's considerations is coefficient inverse problems, which consist of determining the variable coefficients of a certain differential operator defined in a domain from boundary measurements of a solution or its functionals.
Journal ArticleDOI
Inverse problems and Carleman estimates
TL;DR: In this article, a method for proving global uniqueness theorems for one broad class of multidimensional coefficient inverse problems is described. But this method is based on Carleman estimates and does not depend essentially on the order or type of differential operator.
Book
Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
TL;DR: In this paper, two new concepts of numerical solutions of multidimensional Coefficient Inverse Problems (CIPs) for a hyperbolic Partial Differential Equation (PDE) are presented: approximate global convergence and adaptive finite element method (adaptivity for brevity).
Journal ArticleDOI
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
TL;DR: A review paper of the role of Carleman estimates in the theory of multidimensional Coefficient Inverse Problems since the first inception of this idea in 1981 is given in this article.
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Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
TL;DR: A review paper of the role of Carleman estimates in the theory of multidimensional Coefficient Inverse Problems since the first inception of this idea in 1981 is given in this paper.