Eckmann, J. P.Hairer, Martin2024-09-172024-09-172024-09-112001-01-0110.1088/0951-7715/14/1/3082-s2.0-0035218988https://infoscience.epfl.ch/handle/20.500.14299/241176We 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∞, 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.enfalsetext::journal::journal article::research article