Stabilization of the wave equation with a delay term in the boundary or internal feedbacks
نویسندگان
چکیده
In this paper we consider, in a bounded and smooth domain, the wave equation with a delay term in the boundary condition. We also consider the wave equation with a delayed velocity term and mixed Dirichlet-Neumann boundary condition. In both cases, under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and by using some observability inequalities. Some unstability examples are also given. 2000 Mathematics Subject Classification: 35L05, 93D15
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تاریخ انتشار 2005