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research article

Invariant measures for stochastic partial differential equations in unbounded domains

Eckmann, J. P.
•
Hairer, Martin  
January 1, 2001
Nonlinearity

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∞, 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.

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