16 citations · 29 across the 13 of their papers we have counts for
4 papers · 1 filter
- estimates for transition semigroups associated to dissipative stochastic systems
Luciana Angiuli, Davide A. Bignamini, Simone Ferrari
In a separable Hilbert space, we study supercontractivity and ultracontractivity properties for a transition semigroups associated with a stochastic partial differential equations.…
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 $L^p(X,\g_t)$, $\{\g_t\}_{t\in\R}$…
Pathwise uniqueness for stochastic heat and damped equations with Hölder continuous drift
Davide Addona, Davide A. Bignamini
In this paper, we prove pathwise uniqueness for stochastic differential equations in infinite dimension. Under our assumptions, we are able to consider the stochastic heat equation…
Differentiability in infinite dimension and the Malliavin calculus
Davide A. Bignamini, Simone Ferrari, Simona Fornaro +1
In this paper we study two notions of differentiability introduced by P. Cannarsa and G. Da Prato (see [28]) and L. Gross (see [56]) in both the framework of infinite dimensional a…