Carleman Estimates and Applications to Uniqueness and Control Theory: 46 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover

Colombini, Ferrucio; Zuily, C.; Colombini, F.

Hardcover

ISBN 10: 0817642307 ISBN 13: 9780817642303

Verlag: Birkhäuser, 2001

Inhaltsangabe

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.

Über diesen Titel

Reseña del editor

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 Schrodinger 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. The Contributors of this title 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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2001
• Sprache: Englisch
• ISBN 10: 0817642307
• ISBN 13: 9780817642303
• Einband: Tapa dura
• Anzahl der Seiten: 224
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar