Blowup of solutions of a nonlinear wave equation

Abstract

We establish a blowup result to an initial boundary value problem for the nonlinear wave equation $u_{tt}-M\left(\Vert B^{1/2}u\Vert {}^2\right)Bu+k{u}_t=\left|u\right|{}^{p-2}$, $x\in \Omega$, $t>0$.