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.
Titolo: | A note on stabilization of locally damped wave equations with time delay | |
Autori: | ||
Data di pubblicazione: | 2012 | |
Rivista: | ||
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. | |
Handle: | http://hdl.handle.net/11697/12921 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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