We suggest that the slow, scale-invariant coarsening regime in facetin
g kinetics is governed by long-tailed algebraic distributions of kink-
antikink reorganization times. This makes the problem similar to dispe
rsive charge transport in disordered materials. A qualitative explanat
ion is given for the low experimental value of the dynamic exponent (p
hi similar or equal to 1/6) describing the growth of groove width.