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arxiv: math/0410441 · v1 · submitted 2004-10-20 · 🧮 math.AP · math.PR

Coupling for some partial differential equations driven by white noise

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keywords couplingdrivenequationsnoisewhiteargumentsburgersconvergence
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We prove, using coupling arguments, exponential convergence to equilibrium for reaction--diffusion and Burgers equations driven by space-time white noise. We use a coupling by reflection.

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