J-P Eckmann and M Hairer 2001 Nonlinearity 14 133 doi:10.1088/0951-7715/14/1/308
J-P Eckmann1,2 and M Hairer1
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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.
60H15 Stochastic partial differential equations (See also 35R60)
Issue 1 (January 2001)
Received 31 March 2000, in final form 1 August 2000
J-P Eckmann and M Hairer 2001 Nonlinearity 14 133
M Hairer 2002 Nonlinearity 15 271
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