Energy decay estimate for the boundary stabilization of the coupled wave equations

In this paper we shall study exponential stability and energy decay estimates of control problems of wave equations coupled in parallel by boundary feedback controllers. To this end, uniform decay of solutions of coupled wave equations with boundary energy dissipations in bounded regions (whose boundaries consist partly of nontrapping reflecting surfaces and partly of energy absorbing surfaces) are obtained in ℜ n ( n ≤ 3 ) .