Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
Michael V. Klibanov
TL;DR
This review paper discusses the significance of Carleman estimates in solving multidimensional coefficient inverse problems, highlighting their role in establishing uniqueness, stability, and aiding numerical methods since 1981.
Contribution
It provides a comprehensive overview of the development and application of Carleman estimates in inverse problems over several decades.
Findings
Carleman estimates are crucial for proving uniqueness in inverse problems.
They contribute to stability estimates and numerical solution techniques.
The paper summarizes key advancements since 1981.
Abstract
This is 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.
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