Eckmann J.-P., Wayne C.E.
The Non-Linear Stability of Front Solutions for Parabolic Partial
Differential Equations
(117K, Postscript, 14 pages)

ABSTRACT.  For the Ginzburg-Landau equation and similar
reaction-diffusion equations on the line,
we show convergence of {\em complex} perturbations of
front solutions towards the front solutions,
by exhibiting a coercive functional.