Identifiability, stability and reconstruction results of sources by interior measurements.

Nicaise, Serge; Zaïr, Ouahiba

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Stabilization of the Schrödinger equation.

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On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions.

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On the well-posedness and regularity of the wave equation with variable coefficients

Bao-Zhu Guo, Zhi-Xiong Zhang (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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An open-loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed.

Boundary stabilization of Maxwell’s equations with space-time variable coefficients

Serge Nicaise, Cristina Pignotti (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the stabilization of Maxwell’s equations with space-time variable coefficients in a bounded region with a smooth boundary by means of linear or nonlinear Silver–Müller boundary condition. This is based on some stability estimates that are obtained using the “standard” identity with multiplier and appropriate properties of the feedback. We deduce an explicit decay rate of the energy, for instance exponential, polynomial or logarithmic decays are available for appropriate feedbacks. ...