In this paper, we consider the wave equation with internal distributed time delay and local damping in a bounded and smooth domain Ω ⊂ Rn . When the local damping acts on a neighborhood of a suitable part of the boundary of Ω , we show that an exponential stability result holds if the coefficient of the delay term is sufficiently small.

A note on stabilization of locally damped wave equations with time delay

PIGNOTTI, CRISTINA
2012

Abstract

In this paper, we consider the wave equation with internal distributed time delay and local damping in a bounded and smooth domain Ω ⊂ Rn . When the local damping acts on a neighborhood of a suitable part of the boundary of Ω , we show that an exponential stability result holds if the coefficient of the delay term is sufficiently small.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/12921
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