We consider the viscoelastic equation u(tt)(x, t) - M(vertical bar vertical bar del u vertical bar vertical bar(2)(2))Delta u(x,t) +integral(t)(0)g(t-s)Delta u(x,s)ds + u(t) = vertical bar u vertical bar(p-1)u with suitable initial data and boundary conditions. Under certain assumptions on the kernel g and the initial data, we establish a new blow-up result for arbitrary positive in...