Carleman Estimates and Applications to Uniqueness and Control Theory

Feruccio Colombini, Claude Zuily (Herausgeber)

Buch | Softcover

211 Seiten

2012 | Softcover reprint of the original 1st ed. 2001
Springer-Verlag New York Inc.
978-1-4612-6660-0 (ISBN)

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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.

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.

Reihe/Serie	Progress in Nonlinear Differential Equations and Their Applications ; 46
Zusatzinfo	VII, 211 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften
ISBN-10	1-4612-6660-2 / 1461266602
ISBN-13	978-1-4612-6660-0 / 9781461266600
Zustand	Neuware