G. Prato

collaborators

2 papers

math.PR2005

Gradient Bounds for Solutions of Elliptic and Parabolic Equations

Vladimir I. Bogachev, Giuseppe Da Prato, Michael Röckner +1

Let $L$ be a second order elliptic operator on $R^{d}$ with a constant diffusion matrix and a dissipative (in a weak sense) drift $b \in L_{l oc}^{p}$ with some $p > d$ . We assume that $L…

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…