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

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Carleman Estimate and Decay Rate of the Local Energy for the Neumann Problem of Elasticity,ll of ℝ...The fundamental difference between our case and the case of the scalar laplacian (see Burq [.]) is that the phenomenon of Rayleigh waves is connected to the failure of the Lopatinskii condition.
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https://doi.org/10.1007/978-3-642-23415-6operty (s.u.c.p) if any solution . is identically zero whenever it vanishes of infinite order at a point of Ω. We recall that a function. is said to vanish of infinite order at a point .. (or that . is flat at ..) if for all . > 0,
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Some Necessary Conditions for Hyperbolic Systems,tiple characteristic. Our purpose is to find some necessary conditions which correspond to the Ivrii-Petkov conditions for systems. In [.], we obtained a necessary condition in this direction. Here we continue this study.
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Unique Continuation from Sets of Positive Measure,operty (s.u.c.p) if any solution . is identically zero whenever it vanishes of infinite order at a point of Ω. We recall that a function. is said to vanish of infinite order at a point .. (or that . is flat at ..) if for all . > 0,
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Strong Uniqueness for Fourth Order Elliptic Differential Operators,with complex Lipschitz continuous coefficients and also that .(.) = ..(.) ..(.) where ..(.) and ..(.) are two second order differential elliptic operators such that ..(O, .) = ..(.) = −Δ. The proof of the theorem mentioned above uses the classical Carleman method.
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