Carleman Estimates and Applications to Uniqueness and Control Theory
L. Aloui, M. Khenissi (auth.), Ferruccio Colombini, Claude Zuily (eds.)
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
Kategorie:
Rok:
2001
Wydanie:
1
Wydawnictwo:
Birkhäuser Basel
Język:
english
Strony:
211
ISBN 10:
1461266602
ISBN 13:
9781461266600
Serie:
Progress in Nonlinear Differential Equations and Their Applications 46
Plik:
PDF, 24.64 MB
IPFS:
,
english, 2001
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