Carleman Estimates and Applications to Uniqueness and Control Theory

Colombini Feruccio Zuily Claude

ISBN 10: 0817642307 / ISBN 13: 9780817642303

Editore: Springer, 2001

PRINT ON DEMAND pp. 224. Codice articolo 183067579

Riassunto:

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.

Contenuti: 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

Dati bibliografici

Titolo: Carleman Estimates and Applications to ...
Casa editrice: Springer
Data di pubblicazione: 2001
Legatura: Rilegato
Condizione: New