Carleman Estimates and Applications to Uniqueness and Control Theory [Paperback]

Stabilization for the Wave Equation on Exterior Domains.- Carleman Estimate and Decay Rate of the Local Energy for the Neumann Problem of Elasticity.- Microlocal Defect Measures for Systems.- Strong Uniqueness for Laplace and Bi-Laplace Operators in the Limit Case.- Stabilization for the Semilinear Wave Equation in Bounded Domains.- Recent Results on Unique Continuation for Second Order Elliptic Equations.- Strong Uniqueness for Fourth Order Elliptic Differential Operators.- Second Microlocalization Methods for Degenerate CauchyRiemann Equations.- A G?rding Inequality on a Manifold with Boundary.- Some Necessary Conditions for Hyperbolic Systems.- Strong Unique Continuation Property for First Order Elliptic Systems.- Observability of the Schr?dinger Equation.- Unique Continuation from Sets of Positive Measure.- Some Results and Open Problems on the Controllability of Linear and Semilinear Heat Equations.Consists of expository articles and research papers highlighting new results on Carleman estimates and their applications. Focus is on unique continuation, control theory, and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail. Also examined are applications of Carleman estimates to stabilization, observability, and exact control for the wave and the Schrodinger equations. Includes open problems on the controllability of linear and semilinear heat equations. Of interest to researchers and graduate students of pdes and their applications.