Differential and Integral Equations

Asymptotic behaviour for symmetric hyperbolic dissipative systems

Abstract

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.

Article information

Source
Differential Integral Equations, Volume 10, Number 2 (1997), 273-287.

Dates
First available in Project Euclid: 2 May 2013