Hyperbolic equations in joined domains with boundary energy dissipation

This work deals with the asymptotic behavior of solutions of two hyperbolic equations coupled in series where the energy-absorbing boundaries are presented. It is shown that under some geometrical conditions with respect to a vector field h(x) in the joined surface of the two bounded domains in the space of R/sup n/, the energy of the system will decay uniformly exponentially. Some numerical results for different design of boundary controllers of rectangular domains are presented.