  Even though the heat equation with random potential is a well-studied object,
the particular case of time-independent Gaussian white noise in one space
dimension has yet to receive the attention it deserves. The paper investigates
the stochastic heat equation with space-only Gaussian white noise on a bounded
interval. The main result is that the space-time regularity of the solution is
the same for additive noise and for multiplicative noise in the
Wick-It\^o-Skorokhod interpretation.
