On blow up of positive initial energy solution of a nonlinear wave equation with nonlinear source and boundary damping terms

Ogbiyele, P. A.Arawomo, P. O.2023-03-212023-03-212021-08ui_art_ogbiyele_on_2021Transactions of the Nigerian Association of Mathematical Physics 16, pp. 129-140http://ir.library.ui.edu.ng/handle/123456789/8113In this paper, we consider a nonlinear wave equation having nonlinear source and boundary damping terms and obtain blow up results under certain polynomial growth conditions on y, r, m and p, where the polynomial growth order of the nonlinear functions g and / are p + 1 and to +1 respectively. We obtain the blow up result using the perturbed energy technique.enNon-linear boundary dampingNon-linear sourcePositive initial energyPotential wellBlow upOn blow up of positive initial energy solution of a nonlinear wave equation with nonlinear source and boundary damping termsArticle