Titlebook: New Prospects in Direct, Inverse and Control Problems for Evolution Equations; Angelo Favini,Genni Fragnelli,Rosa Maria Mininni Book 2014

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Springer INdAM Serieshttp://image.papertrans.cn/n/image/665687.jpg

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Exponential Stability of the Wave Equation with Memory and Time Delay,We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time delay term is small enough.

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Determining the Scalar Potential in a Periodic Quantum Waveguide from the DN Map,We prove logarithmic stability in the determination of the time-dependent scalar potential in a periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schr?dinger equation.

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