A note on blow up of solutions of a quasilinear heat equation with vanishing initial energy

In this work we consider an initial boundary value problem related to the equation ut−div<fen><cp type="lpar" STYLE="S">&z.sfnc;∇u&z.sfnc;m−2∇u<cp type="rpar" STYLE="S"></fen>=f(u) and prove, under suitable conditions on <f>f,</f> a blow up result for solutions with vanishing or negative initial energy. [Copyright &y& Elsevier]