  We prove the stability of the one dimensional kink solution of the
Cahn-Hilliard equation under d-dimensional perturbations for d > 2. We also
establish a novel scaling behavior of the large time asymptotics of the
solution. The leading asymptotics of the solution is characterized by a length
scale proportional to the cubic root of t instead of the usual square root of t
scaling typical to parabolic problems.
