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.File in questo prodotto:
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