  It is shown that the mode-coupling equations for the strong-coupling limit of
the KPZ equation have a solution for d>4 such that the dynamic exponent z is 2
(with possible logarithmic corrections) and that there is a delta function term
in the height correlation function <h(k,w)h^*(k,w)> = (A/k^{d+4-z})
\delta(w/k^z) where the amplitude A vanishes as d -> 4. The delta function term
implies that some features of the growing surface h(x,t) will persist to all
times, as in a glassy state.
