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A note on stabilization of locally damped wave equations with time delay. (English) Zbl 1250.93103

Summary: In this paper, we consider the wave equation with internal distributed time delay and local damping in a bounded and smooth domain \(\Omega \subset {\mathbb R}^{n}\). When the local damping acts on a neighborhood of a suitable part of the boundary of \(\Omega \), we show that an exponential stability result holds if the coefficient of the delay term is sufficiently small.

MSC:

93D15 Stabilization of systems by feedback
93C20 Control/observation systems governed by partial differential equations
35L05 Wave equation
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