Zeitschrift für Analysis und ihre Anwendungen


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Volume 36, Issue 2, 2017, pp. 239–251
DOI: 10.4171/ZAA/1587

Published online: 2017-03-29

Non-Uniform Decay of the Energy of some Dissipative Evolution Systems

Kaïs Ammari[1], Ahmed Bchatnia[2] and Karim El Mufti[3]

(1) Université de Monastir, Tunisia
(2) Université de Tunis El Manar, Tunisia
(3) Université de Manouba, Tunisia

In this paper we consider second order evolution equations with bounded damping. We give a characterization of a non-uniform decay for the damped problem using a kind of observability estimate for the associated undamped problem.

Keywords: Bounded feedback, kind of observability estimate, non-uniform decay

Ammari Kaïs, Bchatnia Ahmed, El Mufti Karim: Non-Uniform Decay of the Energy of some Dissipative Evolution Systems. Z. Anal. Anwend. 36 (2017), 239-251. doi: 10.4171/ZAA/1587