Abstract
In this chapter we consider second order evolution equations with unbounded feedbacks. Under a regularity assumption we show that observability properties for the undamped problem imply decay estimates for the damped problem. We consider both uniform and non uniform decay properties.
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Ammari, K., Nicaise, S. (2015). Stabilization of Second Order Evolution Equations by a Class of Unbounded Feedbacks. In: Stabilization of Elastic Systems by Collocated Feedback. Lecture Notes in Mathematics, vol 2124. Springer, Cham. https://doi.org/10.1007/978-3-319-10900-8_2
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DOI: https://doi.org/10.1007/978-3-319-10900-8_2
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