A new approach to the stabilization of the wave equation with boundary damping control

الملخص EN

: This paper deals with boundary feedback stabilization of a system, which consists of a wave equation in a bounded domain of R" , with Neumann boundary conditions.

To stabilize the system, we propose a boundary feedback law involving only a damping term.

Then using a new energy function, we show that the solutions of the system asymptotically converge to a stationary position, which depends on the initial data.

Similar results were announced without proof in (Chertoff and Boudellioua, 2004).