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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.
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.
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