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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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AgBr: phase transitions, , phase diagram,Let . ∈ C. (ℝ. × ℝ.) and . ∈ ℝ. The function . is said to be a symbol of order . if one has estimates . uniformly on ℝ. × ℝ. for all multi-indices ., . ∈ ℤ.. With such a symbol we associate the . operator (of order .) .: .(ℝ.) → .(ℝ.) defined by ..
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Microlocal Defect Measures for Systems,We define the microlocal defect measures for boundary value systems satisfying the strong Lopatinski condition and we apply these notions to the study of the asymptotic propagation of the energy for the solutions of the Lamé system.
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Stabilization for the Semilinear Wave Equation in Bounded Domains,The aim of this article is to prove a stabilization theorem for the semilinear wave equation on a bounded open domain of ℝ., . ⩾ 1 with boundary Dirichlet condition. More precisely, we study systems of the type . where the nonlinearity . satisfies some conditions which will be specified later.
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Recent Results on Unique Continuation for Second Order Elliptic Equations,The aim of this article is to describe some recent work [., .] on unique continuation for second order elliptic equations. Consider the second order elliptic operator . in ℝ., the potential . and the vector fields .. and ... To these we associate the differential equation
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,Second Microlocalization Methods for Degenerate Cauchy—Riemann Equations,We study a class of degenerate Cauchy—Riemann equations and we show that the second microlocalization with respect to a hypersurface is a useful tool to formulate and prove propagation and solvability results.
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,A Gårding Inequality on a Manifold with Boundary,Let . ∈ C. (ℝ. × ℝ.) and . ∈ ℝ. The function . is said to be a symbol of order . if one has estimates . uniformly on ℝ. × ℝ. for all multi-indices ., . ∈ ℤ.. With such a symbol we associate the . operator (of order .) .: .(ℝ.) → .(ℝ.) defined by ..
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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/c/image/222133.jpg
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https://doi.org/10.1007/978-1-4612-0203-5applications of mathematics; control theory; partial differential equation; partial differential equati
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