In this paper we study the existence, uniqueness and asymptotic behaviour of the solution for a class of first-order symmetric hyperbolic systems introduced by Friedrichs [(6)], in a bounded domain with an energy-absorbing boundary. It is carried out using the Fourier transform method. An energy decay rate result is obtained.
"Asymptotic behaviour for symmetric hyperbolic dissipative systems." Differential Integral Equations 10 (2) 273 - 287, 1997. https://doi.org/10.57262/die/1367526338