16 citations · 29 across the 13 of their papers we have counts for
17 papers
Asymptotic Behaviour for Isotropic Pearson Random Walks
Davide A. Bignamini, Emanuele G. Casini, Andrea Martinelli
In the Pearson random walk the direction of the i-th step is a random variable uniformly distributed on the d-dimensional sphere, and its length is a non-negative random variable.…
Stochastic damped wave and Euler-Bernoulli equations with singular locally Hölder continuous drift
Davide Addona, Davide Augusto Bignamini
Let and be two separable Hilbert spaces and . We consider a stochastic differential equation which evolves in the Hilbert space of the form \begin{align} \label{SD…
Pathwise uniqueness by noise for singular stochastic PDEs
Davide Addona, Davide Bignamini, Carlo Orrieri +1
Pathwise uniqueness for stochastic PDEs with drift in differential form is a main open problem in the recent literature on regularisation by noise. This paper establishes a self-co…
Stochastic and deterministic non-autonomous reaction-diffusion equations
Davide A. Bignamini, Paolo De Fazio
In this paper we prove the well-posedness of non-autonomous deterministic and stochastic reaction-diffusion equations with a polynomial reaction term. Concerning the stochastic pro…
Stochastic dissipative systems in Banach spaces driven by Lévy noise
Davide A. Bignamini, Enrico Priola
In this paper, we are interested in the well-posedness of stochastic reaction diffusion equations like \begin{equation} \begin{cases} dX(t)(ξ)=\big(Δ_ξX(t)(ξ)-p(X(t)(ξ))\big)dt+RdW…
Weak uniqueness for stochastic partial differential equations in Hilbert spaces
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces. The main goal of this paper is to study the weak uniqueness of the Stochastic Differential Equation evolving in \begin{align*} dX(t)=…
Pathwise uniqueness in infinite dimension under weak structure conditions
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces and . We consider an SDE which evolves in the Hilbert space of the form \begin{align} dX(t)=AX(t)dt+\widetilde{\mathscr L}B(X(t))…
- 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…
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…
Logarithmic Harnack inequalities for transition semigroups in Hilbert spaces
L. Angiuli, D. A. Bignamini, S. Ferrari
We consider the stochastic differential equation where $\m…
-theory for transitions semigroups associated to dissipative systems
Davide A. Bignamini
Let be a real separable Hilbert space. Let be a linear, bounded and positive operator on and let be the infinitesimal generator of a strongly co…
On generators of transition semigroups associated to semilinear stochastic partial differential equations
D. A. Bignamini, S. Ferrari
Let be a real separable Hilbert space. Let be a linear, self-adjoint, positive, trace class operator on , let b…
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…