Titlebook: Carleman Estimates and Applications to Uniqueness and Control Theory; Ferruccio Colombini,Claude Zuily Book 2001 Springer Science+Business

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978-1-4612-6660-0Springer Science+Business Media New York 2001

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AgClx-Br1-x: lattice constants,t . be a bounded, smooth domain of ℝ. (. odd); we consider the following wave equation on Ω = . .: . with the initial data . = (. ., . .) ∈ .(Ω) = . . × . ., the completion of (. .(Ω)). for the energy norm.

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AgClx-Br1-x: lattice constants, for second order operators to fourth order differential operators which are factorized into two second order operators. Uniqueness is associated with the differential inequality . where .., .., .., .. are positive constants and .. < 3/2; in addition, we suppose that .(.) is a differential operator

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AlAs, wurtzite modification: energy gap,. O. Cordes. After their works many advances were made, among them, differential inequalities with critical singularities as well as subcritical ones were intensively investigated in connection with the absence of positive eigenvalues in the continuous spectrum([.], [.], [.], [.], [.], [.]).

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AlxGa1-xAs: dielectric function,s are obtained from different works on the control of the heat equation or of the wave equation. From the theory of exact and approximate controllability,introduced by J.L. Lions [.], we know that observation is equivalent to approximate controllability and stable observation is equivalent to exact

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Stabilization for the Wave Equation on Exterior Domains,t . be a bounded, smooth domain of ℝ. (. odd); we consider the following wave equation on Ω = . .: . with the initial data . = (. ., . .) ∈ .(Ω) = . . × . ., the completion of (. .(Ω)). for the energy norm.