9 papers
Time regularity for generalized Mehler semigroups
Alessandra Lunardi
We study continuity and Hölder continuity of , where is a generalized Mehler semigroup in , the space of the continuous and bounded functions from a Ba…
Schauder theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces
Alessandra Lunardi, Michael Röckner
We prove maximal regularity results in Hölder and Zygmund spaces for linear stationary and evolution equations driven by a large class of differential and pseudo-differential opera…
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension
Sandra Cerrai, Alessandra Lunardi
We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gau…
On the law of the minimum of the solutions to a class of unidimensional SDEs
Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro
We prove that the law of the minimum of the solution to a one-dimensional ODE with good nonlinearity has continuous density with respect to the Lebes…
BV functions in Hilbert spaces
Giuseppe Da Prato, Alessandra Lunardi
We study functions in a Hilbert space endowed with a probability measure , assuming that is Fomin differentiable along suitable directions. We establish basic chara…
Averaging principle for non autonomous slow-fast systems of stochastic RDEs: the almost periodic case
Sandra Cerrai, Alessandra Lunardi
We study the validity of an averaging principle for a slow-fast system of stochastic reaction diffusion equations. We assume here that the coefficients of the fast equation depend…