Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise

Details Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise

2001-03-28

arxiv.org/abs/math-ph/0103039v1

Physics

Mathematical Physics

10 pages, 1 figure

Scientific paper

10.1088/0951-7715/15/2/304

We study stochastic partial differential equations of the reaction-diffusion
type. We show that, even if the forcing is very degenerate (i.e. has not full
rank), one has 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.

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