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Stabilization of Second Order Evolution Equations by a Class of Unbounded Feedbacks

Part of the Lecture Notes in Mathematics book series (LNM,volume 2124)

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.

Keywords

  • Unbounded Feedbacks
  • Order Evolution Equations
  • Uniform Decay Properties
  • Dampness Problems
  • Undamped Problem

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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