Ogbiyele, P. A.Arawomo, P. O.2023-03-212023-03-212022-072090-729Xui_art_ogbiyele_blow_2022Electronic Journal of Mathematical Analysis and Applications 10(2), pp. 61-74http://ir.library.ui.edu.ng/handle/123456789/8117In 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.enBlow upRelaxation functionViscoelasticDamping potentialArticle