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most citedExistence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation

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math.AP2004

Coupling for some partial differential equations driven by white noise

Giuseppe Da Prato, Arnaud Debussche, Luciano Tubaro

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 refl…