Serge Nicaise, Cristina Pignotti
Abstract:
We study the stabilization problem by interior damping
of the wave equation with boundary or internal time-varying delay
feedback in a bounded and smooth domain. By introducing suitable
Lyapunov functionals exponential stability estimates are obtained
if the delay effect is appropriately compensated by the internal
damping.
Submitted July 26, 2010. Published March 17, 2011.
Math Subject Classifications: 35L05, 93D15.
Key Words: Wave equation; delay feedback; stabilization.
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Serge Nicaise Université de Valenciennes et du Hainaut Cambrésis, MACS ISTV, 59313 Valenciennes Cedex 9, France email: serge.nicaise@univ-valenciennes.fr |
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Cristina Pignotti Dipartimento di Matematica Pura e Applicata, Universitádi L'Aquila Via Vetoio, Loc. Coppito, 67010 L'Aquila, Italy email: pignotti@univaq.it |
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