ENGLISH

Carleman Estimates and Applications to Uniqueness and Control Theory

By Ferruccio Colombini , L. Aloui , M. Khenissi (auth.) , Claude Zuily (eds.)

Book information

Publisher
Birkhäuser Basel
Year
2001
ISBN
978-1-4612-6660-0, 978-1-4612-0203-5
DOI
10.1007/978-1-4612-0203-5
Language
english
Format
PDF
Filesize
25 MB (25841043 bytes)
Series
Progress in Nonlinear Differential Equations and Their Applications 46
Edition
1
Pages
211\216
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
ControlPartial Differential Equations; Applications of Ma

Description

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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