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Study Carleman Estimates and Applications to Uniqueness and Control Theory

Posted on 2010-03-16




Name:Study Carleman Estimates and Applications to Uniqueness and Control Theory
ASIN/ISBN:0817642307
Language:English
File size:4.2 Mb
Language: English
Publish Date: 2001-06-21
ISBN: 0817642307
Pages: 211 pages
File Type: PDF
File Size: 4,2 MB
Other Info: Birkhäuser Boston
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Feruccio Colombini, Claude Zuily "Carleman Estimates and Applications to Uniqueness and Control Theory (Progress in Nonlinear Differential Equations and Their Applications)"

A collected of self-contained articles and proofs on Carleman estimates and applications to uniqueness in control theory. For mathematicians, physicists, and graduate students with a background in PDEs. DLC: Communication methods.

This volume consists of 14 research articles that are an outgrowth of a scientific meeting held in Cortona on the subject of Carleman Estimates and Control Theory. New results are presented on Carleman estimates and their applications to uniqueness and controllability of partial differential equations and systems.

The main topics are unique continuation for elliptic PDEs and systems, control 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 stabilization, observability and exact control for the wave and Schrödinger equations. A final paper presents a challenging list of open problems on the topic of controllability of linear and semilinear heat equations.The articles contain exhaustive and essentially self-contained proofs directly accessible to mathematicians, physicists, and graduate students with an elementary background in PDEs. Contributors: 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, E. Zuazua

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