Carleman Estimates and Applications to Uniqueness and Control Theory (Progress in Nonlinear Differential Equations and Their Applications)

ISBN 10: 1461266602 / ISBN 13: 9781461266600

Verlag: Birkhäuser, 2012

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Bibliografische Details

• Titel: Carleman Estimates and Applications to Uniqueness and Control Theory (Progress in Nonlinear Differential Equations and Their Applications)
• Verlag: Birkhäuser
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 1461266602
• ISBN-13: 9781461266600
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

Consists of expository articles and research papers highlighting new results on Carleman estimates and their applications. Focus is on unique continuation, control theory, and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail. Also examined are applications of Carleman estimates to stabilization, observability, and exact control for the wave and the Schrodinger equations. Includes open problems on the controllability of linear and semilinear heat equations. Of interest to researchers and graduate students of pdes and their applications.

Reseña del editor

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.