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Titlebook: Control and Optimal Design of Distributed Parameter Systems; John E. Lagnese,David L. Russell,Luther W. White Conference proceedings 1995

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,Thesenförmige Zusammenfassung,ecay rates for the solutions are established. In the second case, when a constant load is attached to the plate, the existence of finite dimensional attractor is demonstrated. The role of geometric conditions and its relation to the presence of “light” interior damping is also discussed.
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https://doi.org/10.1007/978-3-658-24709-6onserving the “volume” or “mass” ∫..(.). which monotonically reduces the “energy” ∫..(.)... For the second equation a feedback boundary control is applied having the same properties. In both cases we obtain uniform exponential decay of the solutions to a constant state.
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,Meditationsübungen und – angebote,e problem of the density of the range of the semigroup for linear heat equations with potentials and a fixed point technique. These methods are similar to those developed by the authors in an earlier paper in the study of the approximate controllability of semilinear heat equations.
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