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This work, consisting of expository articles as well as research papers, highlights new results on Carleman estimates and their applications. The material is largely an outgrowth of an international meeting held in Cortona, Italy and has been thoroughly refereed. Unique continuation, control theory, and inverse problems are the focus of the volume. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory, applications of Carleman estimates to stabilization, observability, and exact control for the wave and the Schroedinger equations are given. A final paper presents open problems on the controllability of linear and semilinear heat equations. Topics covered in the volume will be of interest to researchers and graduate students of partial differential equations and their applications.
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