Invariant measures for stochastic partial differential equations in unbounded domains

We study stochastically forced semilinear parabolic partial differential equations of the Ginzburg-Landau type. The class of forcings considered are white noise in time and coloured smooth noise in space. The existence of the dynamics in L-infinity, as well as the existence of an invariant measure are proven. We also show that the solutions are with high probability analytic in a strip around the real axis and give estimates on the width of that strip. AMS classification scheme numbers: 60H15, 35K55.