  We consider the continuum parabolic Anderson model (PAM) and the dynamical
$\Phi^4$ equation on the $3$-dimensional cube with boundary conditions. While
the Dirichlet solution theories are relatively standard, the case of
Neumann/Robin boundary conditions gives rise to a divergent boundary
renormalisation. Furthermore for $\Phi^4_3$ a `boundary triviality' result is
obtained: if one approximates the equation with Neumann boundary conditions and
the usual bulk renormalisation, then the limiting process coincides with the
one obtained using Dirichlet boundary conditions.
