Blow-up solutions for a nonlinear wave equation with boundary damping and interior source

Abstract

In this paper we consider the wave equation with nonlinear damping and source terms. We are interested in the interaction between the boundary damping -| yt(L,t)|m-1 yt(L,t) and the interior source | y(t)|p-1y(t). We find a sufficient condition for obtaining the blow-up solution of the problem. Furthermore, we also obtain that the solution may blow up even if m