Carleman Estimates and Inverse Problems in the Last Two Decades
Carleman estimates are a powerful tool which was originally proposed by T. Carleman in 1939 for proofs of uniqueness results for ill-posed Cauchy problems. Since 1981 this tool has been applied to inverse problems for PDEs. The goal of this paper is to provide a tutorial-like short review of the role which Carleman estimates play in three fundamental issues of inverse problems: uniqueness, stability, and numerical methods.
KeywordsInverse Problem Cauchy Problem Uniqueness Result Unknown Coefficient Elliptic PDEs
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