In this paper, we consider the following wave equation: with space-time dependent potential, where the initial data have compact support. Under suitable assumptions on the nonlinear function f, the relaxation function g and the damping potential b, we obtain blow up results using the perturbed energy method.
(Elsevier Inc., 2022) Ogbiyele, P. A.; Arawomo, P. O.
In this paper, we consider the following viscoelastic wave equation with space-time dependent potential and where the initial data u0(x), u1(x)have compact support. Under suitable assumptions on the relaxation function g and the potential b, we obtain a more general energy decay result using the perturbed energy method.
