Titlebook: Exact Controllability and Stabilization of the Wave Equation; Enrique Zuazua Textbook 2024 The Editor(s) (if applicable) and The Author(s)

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Further Reading,The topics addressed in these Notes have significantly evolved since they were written for the first time back in 1989. Here we enclose some other important references that complement the synthetic presentation of these Notes.

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钢盔

尖酸一点

Enrique ZuazuaPedagogic introduction to the control and stabilization of waves.Careful and in-depth analysis.This approach is suitable for both experts and beginners

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https://doi.org/10.1007/978-3-319-21021-6eneral class of space-dependent variable coefficients. The proof is based on the HUM method, that transforms the problem into an observability one, and the multiplier method, which allows to derive the equivalent observability inequalities.

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Modelling and Controlling Hydropower Plantshere in the interior of the domain. We introduce and use LaSalle‘s invariance principle and build suitable Lyapunov functionals, as perturbations of the energy, allowing to get explicit decay rates as a function of the dissipative nonlinearity.

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Communicate

失望未来

Wave Equation with a Nonlinear Internal Dissipation,here in the interior of the domain. We introduce and use LaSalle‘s invariance principle and build suitable Lyapunov functionals, as perturbations of the energy, allowing to get explicit decay rates as a function of the dissipative nonlinearity.