Exponential growth with Lp-norm of solutions for nonlinear heat equations with viscoelastic term

In this work, we study an initial boundary value problem related to the nonlinear viscoelastic equation (1+a|u|q−2)ut−Δu+∫0tg(t−s)Δu(s)ds=b|u|p−2u.We show the exponential growth of solutions with Lp-norm for negative or positive initial energy.