
Carleman Estimates for Coefficient Inverse Problems and Numerical Applications
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In this monograph, the main subject of the author's considerations is coefficient inverse problems. Arising in many areas of natural sciences and technology, such problems consist of determining the variable coefficients of a certain differential operator defined in a domain from boundary measurements of a solution or its functionals. Although the authors pay strong attention to the rigorous justification of known results, they place the primary emphasis on new concepts and developments.
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Content
Preface
Contents
Chapter 1. Introduction
Chapter 2. Carleman estimates and ill-posed Cauchy problems
Chapter 3. Global uniqueness results in high dimensions
Chapter 4. The global uniqueness of a nonlinear parabolic problem
Chapter 5. On the numerical solution of coefficient inverse problems
Chapter 6. Some globally convergent convexification algorithms
Chapter 7. Some applied problems
Bibliography
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