 95508 Benguria, R. D. and Depassier, M. C.
 The Speed of Fronts of the Reaction Diffusion Equation.
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Nov 30, 95

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Abstract. We study the speed of propagation of
fronts for the scalar reactiondiffusion equation $u_t =
u_{xx} + f(u)$\, with $f(0) = f(1) = 0$. We give a new
integral variational principle for the speed of the fronts
joining the state $u=1$ to $u=0$. No assumptions are made
on the reaction term $f(u)$ other than those needed to
guarantee the existence of the front. Therefore our
results apply to the classical case $f > 0$ in $(0,1)$, to
the bistable case and to cases in which $f$ has more than
one internal zero in $(0,1)$.
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