Carleman Estimates and Applications to Uniqueness and Control Theory

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.

Klappentext

Zur Zeit liegt uns keine Inhaltsangabe vor.

Inhalt

Preface Stabilization for the Wave Equation on Exterior Domains / L. Aloui and M. Khenissi Carleman Estimate and Decay Rate of the Local Energy for the Neumann Problem of Elasticity System / Bellassoued Microlocal Effect Measures for Systems / N. Burq Strong Uniqueness for Laplace and bi-Laplace Operators in Limit Case / F. Colombini and C. Grammatico Stabilization for the Semilinear Wave Equation in Bounded Domain / B. Dehman Recent Results on Unique Continuation for Second Order Elliptic Equations / H. Koch and D. Tataru Strong Uniqueness for Fourth Order Elliptic Differential Operators / P. Le Borgne Second Microlocalization Methods for Degenerate Cauchy--Riemann Equations / N. Lerner A Gårding Inequality on a Manifold with Boundary / N. Lerner and X. Saint Raymond Some Necessary Conditions for Hyperbolic Systems / T. Nishitani Strong Unique Continuation Property for First Order Elliptic Systems / T. Okaji Observability of Schrödinger Equation / K.D. Phung Unique Continuation from Sets of Positive Measure / R. Regbaoui Some Results and Open Problems on the Controllability of Linear and Semilinear Heat Equations / E. Zuazua