  In this paper we consider the ZZ brane decay in a D-dimensional background
with a linear dilaton and a Liouville potential switched on. We mainly
calculate the closed string emission rate during the decay process. For the
case of a spacelike dilaton we find a similar Hagedorn behavior, in the closed
string UV region, with the brane decay in the usual 26d and 2d bosonic string
theory. This means that all of the energy of the original brane converts into
outgoing closed strings. In the IR region the result is finite. We also give
some comments about the case that the dilaton is null.
