  In this paper, we establish space like strong unique continuation property
(sucp) for uniformly parabolic sublinear equations under appropriate structural
assumptions. Our main result Theorem 1.1 constitutes the parabolic counterpart
of the strong unique continuation result recently established by Ruland in [Ru]
for analogous elliptic sublinear equations. Similar to that in [Ru], this is
accomplished via a new $L^{2}-L^{2}$ type Carleman estimate for a class of
sublinear parabolic operators.
