Overview

The articles in this volume reflect a subsequent development after a scientific meeting entitled Carleman Estimates and Control Theory, held in Cartona in September 1999. The 14 research-level articles, written by experts, focus on new results on Carleman estimates and their applications to uniqueness and controlla- bility of partial differential equations and systems. The main topics are unique continuation for elliptic PDEs and systems, con- trol theory and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory. the reader will find applications of Carleman estimates to stabiliza- tion, observability and exact control for the wave and the SchrOdinger equations. A final paper presents a challenging list of open problems on the topic of control- lability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly ac- cessible to mathematicians, physicists, and graduate students with an elementary background in PDEs. Contributors are L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani. T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, and E. Zuazua.

Full Product Details

Author:   Feruccio Colombini ,  Claude Zuily
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   46
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.349kg
ISBN:  

9781461266600

ISBN 10:   1461266602
Pages:   211
Publication Date:   23 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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 Cauchy—Riemann Equations.- A Gärding Inequality on a Manifold with Boundary.- Some Necessary Conditions for Hyperbolic Systems.- Strong Unique Continuation Property for First Order Elliptic Systems.- Observability of the Schrödinger Equation.- Unique Continuation from Sets of Positive Measure.- Some Results and Open Problems on the Controllability of Linear and Semilinear Heat Equations.

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