22 citations · 122 across the 13 of their papers we have counts for
14 papers
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…
Functional inequalities for some generalised Mehler semigroups
L. Angiuli, S. Ferrari, D. Pallara
We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure , we prove functional integral inequalities with respect to , such as…
Regarding the domain of non-symmetric and, possibly, degenerate Ornstein--Uhlenbeck operators in separable Banach spaces
D. Addona, G. Cappa, S. Ferrari
Let be a separable Banach space and let be a linear, bounded, non-negative and symmetric operator and let be the infinites…
On functions of bounded variation on convex domains in Hilbert spaces
L. Angiuli, S. Ferrari, D. Pallara
We study functions of bounded variation (and sets of finite perimeter) on a convex open set , being an infinite dimensional real Hilbert space. We relate the tota…
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…
A note on weak-star and norm Borel sets in the dual of the space of continuous functions
S. Ferrari
Let be the Borel -algebra generated by the topology on . In this paper we show that if is a Hausdorff compact space, then every subset of is a Borel set…
Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains
Luciana Angiuli, Simone Ferrari, Diego Pallara
Let be a separable Hilbert space endowed with a non-degenerate centred Gaussian measure and let be the maximum eigenvalue of the covariance operator associated with $…
On the domain of elliptic operators defined in subsets of Wiener spaces
D. Addona, G. Cappa, S. Ferrari
Let be a separable Banach space endowed with a non-degenerate centered Gaussian measure . The associated Cameron-Martin space is denoted by . Consider two sufficiently re…
Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case
G. Cappa, S. Ferrari
Let be a separable Banach space endowed with a non-degenerate centered Gaussian measure . The associated Cameron--Martin space is denoted by . Consider two sufficiently r…
Reviewing METI: A Critical Analysis of the Arguments
John Gertz
There is an ongoing debate pertaining to the question of whether Earth should initiate intentional and powerful radio transmissions to putative extra-terrestrial (ET) civilizations…
Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure
Gianluca Cappa, Simone Ferrari
Let be a separable Banach space endowed with a non-degenerate centered Gaussian measure . The associated Cameron-Martin space is denoted by . Let , where $e^{-…
Sobolev spaces with respect to a weighted Gaussian measures in infinite dimensions
Simone Ferrari
Let be a separable Banach space endowed with a non-degenerate centered Gaussian measure and let be a positive function on such that and $\log w\…