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Coupling for some partial differential equations driven by white noise

Giuseppe Da Prato·Arnaud Debussche·Luciano Tubaro
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Abstract

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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Giuseppe Da Prato, Arnaud Debussche, Luciano Tubaro. 2004-10-20. Coupling for some partial differential equations driven by white noise. https://arxiv.org/abs/math/0410441

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