Carleman Estimates and Applications to Uniqueness and Control Theory:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
46 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 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 the Schrödinger equations. A final paper presents a challenging list of open problems on the topic of controllability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly accessible 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 |
| Beschreibung: | 1 Online-Ressource (VII, 211 p) |
| ISBN: | 9781461202035 9781461266600 |
| DOI: | 10.1007/978-1-4612-0203-5 |
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| 490 | 1 | |a Progress in Nonlinear Differential Equations and Their Applications |v 46 | |
| 500 | |a 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 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 the Schrödinger equations. A final paper presents a challenging list of open problems on the topic of controllability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly accessible 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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| id | DE-604.BV042419479 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461202035 9781461266600 |
| language | English |
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| series | Progress in Nonlinear Differential Equations and Their Applications |
| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| spelling | Carleman Estimates and Applications to Uniqueness and Control Theory edited by Ferruccio Colombini, Claude Zuily Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (VII, 211 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 46 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 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 the Schrödinger equations. A final paper presents a challenging list of open problems on the topic of controllability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly accessible 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 Mathematics Differential equations, partial Systems theory Partial Differential Equations Applications of Mathematics Systems Theory, Control Mathematik Colombini, Ferruccio edt Zuily, Claude edt Progress in Nonlinear Differential Equations and Their Applications 46 (DE-604)BV036582883 46 https://doi.org/10.1007/978-1-4612-0203-5 Verlag Volltext |
| spellingShingle | Carleman Estimates and Applications to Uniqueness and Control Theory Progress in Nonlinear Differential Equations and Their Applications Mathematics Differential equations, partial Systems theory Partial Differential Equations Applications of Mathematics Systems Theory, Control Mathematik |
| title | Carleman Estimates and Applications to Uniqueness and Control Theory |
| title_auth | Carleman Estimates and Applications to Uniqueness and Control Theory |
| title_exact_search | Carleman Estimates and Applications to Uniqueness and Control Theory |
| title_full | Carleman Estimates and Applications to Uniqueness and Control Theory edited by Ferruccio Colombini, Claude Zuily |
| title_fullStr | Carleman Estimates and Applications to Uniqueness and Control Theory edited by Ferruccio Colombini, Claude Zuily |
| title_full_unstemmed | Carleman Estimates and Applications to Uniqueness and Control Theory edited by Ferruccio Colombini, Claude Zuily |
| title_short | Carleman Estimates and Applications to Uniqueness and Control Theory |
| title_sort | carleman estimates and applications to uniqueness and control theory |
| topic | Mathematics Differential equations, partial Systems theory Partial Differential Equations Applications of Mathematics Systems Theory, Control Mathematik |
| topic_facet | Mathematics Differential equations, partial Systems theory Partial Differential Equations Applications of Mathematics Systems Theory, Control Mathematik |
| url | https://doi.org/10.1007/978-1-4612-0203-5 |
| volume_link | (DE-604)BV036582883 |
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