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20042026
most citedKolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space

23 citations · 32 across the 13 of their papers we have counts for

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math.AP2021

Cauchy-Dirichlet problems for a class of hypoelliptic equation in : q new probabilistic representation formula for the gradient of the solutions

Giuseppe Da Prato, Luciano Tubaro

We prove the existence and a new representation formula for the gradient of the semigroup associated to an Ornstein-Uhlenbeck in a bounded convex domain in d dimensions.

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…