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
2012-01-01

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: https://hdl.handle.net/11697/12921
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