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Interior feedback stabilization of wave equations with time dependent delay. (English) Zbl 1215.35098

Summary: We study the stabilization problem by interior damping of the wave equation with boundary or internal time-varying delay feedback in a bounded and smooth domain. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compensated by the internal damping.

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
93D15 Stabilization of systems by feedback
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