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" Carleman Estimates and Applications to Uniqueness and Control Theory "
edited by Ferruccio Colombini, Claude Zuily.
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BL
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573441
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b402660
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| Main Entry
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Colombini, Ferruccio.
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| Title & Author
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Carleman Estimates and Applications to Uniqueness and Control Theory\ edited by Ferruccio Colombini, Claude Zuily.
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| Publication Statement
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Boston, MA :: Birkhäuser Boston :: Imprint: Birkhäuser,, 2001.
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| Series Statement
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Progress in Nonlinear Differential Equations and Their Applications ;; 46
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| ISBN
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9781461202035
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: 9781461266600
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| Contents
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Stabilization for the Wave Equation on Exterior Domains -- Carleman Estimate and Decay Rate of the Local Energy for the Neumann Problem of Elasticity -- Microlocal Defect Measures for Systems -- Strong Uniqueness for Laplace and Bi-Laplace Operators in the Limit Case -- Stabilization for the Semilinear Wave Equation in Bounded Domains -- Recent Results on Unique Continuation for Second Order Elliptic Equations -- Strong Uniqueness for Fourth Order Elliptic Differential Operators -- Second Microlocalization Methods for Degenerate Cauchy-Riemann Equations -- A Gärding Inequality on a Manifold with Boundary -- Some Necessary Conditions for Hyperbolic Systems -- Strong Unique Continuation Property for First Order Elliptic Systems -- Observability of the Schrödinger Equation -- Unique Continuation from Sets of Positive Measure -- Some Results and Open Problems on the Controllability of Linear and Semilinear Heat Equations.
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| Abstract
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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.
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Mathematics.
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Differential equations, Partial.
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Systems theory.
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Zuily, Claude.
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SpringerLink (Online service)
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