M Hairer 2002 Nonlinearity 15 271 doi:10.1088/0951-7715/15/2/304
M Hairer
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We study stochastic partial differential equations of the reaction-diffusion type. We show that, even if the forcing is highly degenerate (i.e. does not have full rank), there is exponential convergence towards the invariant measure. The convergence takes place in the topology induced by a weighted variation norm and uses a kind of (uniform) Doeblin condition.
35K65 Parabolic partial differential equations of degenerate type
35K57 Reaction-diffusion equations
60H15 Stochastic partial differential equations (See also 35R60)
Issue 2 (March 2002)
Received 10 April 2001, in final form 17 December 2001
Published 6 February 2002
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