R. D. Benguria and M. C. Depassier, P. U. Catolica de Chile Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation (12K, LATEX) ABSTRACT. We give a variational characterization for the speed of fronts of the nonlinear diffusion equation $u_t = u_{xx} + f(u)$ with $f>0$, which permits the calculation of the exact speed for arbitrary $f$.