16 citations · 29 across the 13 of their papers we have counts for
4 papers · 1 filter
Log-Sobolev inequalities and hypercontractivity for Ornstein-Uhlenbeck evolution operators in infinite dimensions
Davide A. Bignamini, Paolo De Fazio
In an infinite dimensional separable Hilbert space , we study the realizations of Ornstein-Uhlenbeck evolution operators $\pst$ in the spaces $L^p(X,\g_t)$, $\{\g_t\}_{t\in\R}$…
Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise
Davide A. Bignamini, Simone Ferrari
We consider stochastic reaction-diffusion equations with colored noise and prove Schauder type estimates, which will depend on the color of the noise, for the stationary and evolut…
Schauder regularity results in separable Hilbert spaces
Davide A. Bignamini, Simone Ferrari
We prove Schauder type estimates for solutions of stationary and evolution equations driven by weak generators of transition semigroups associated to a semilinear stochastic partia…
Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
D. A. Bignamini, S. Ferrari
Let be a separable Hilbert space with norm and let . Let be a linear, self-adjoint, positive, trace class operator on , let $F:\math…