摘要

In this paper, we consider the uniform decay estimates of solutions for the viscoelastic wave equation u(tt) - kappa(0)Delta u + integral(t)(0) g(t - s)div [a(x)del u(s)]ds + b(x)h(u(t)) = 0 in Omega x (0, infinity). Under weak assumptions on the functions g, h and f, we prove the energy functional decays exponentially or polynomially to zero as the time goes to infinity by introducing brief Lyapunov functions and precise priori estimates.