We propose a model whereby the average size of domains in a binary mix
ture undergoing spinodal decomposition near a wall can achieve growth
exponents much larger than the usual bulk value of 1/3. The accelerate
d growth is associated with the nonwetting phase coarsening anisotropi
cally against a wall coated with the wetting phase. The larger exponen
ts arise from the coupling of domain coalescence with Lifshitz-Slyozov
type growth, modified to include the geometric constraint of growth n
ear a wall. We include experimental tests of these ideas.