We consider the nonlinear Kolmogorov equation posed in a Hilbert space H, not necessarily
of finite dimension. This model was recently studied by Cox et al.[12] in the framework of …

We investigate several aspects of solutions to stochastic evolution equations in Hilbert
spaces driven by a standard symmetric α-stable cylindrical noise. Similarly to cylindrical …

In this work we investigate the long-time behavior for Markov processes obtained as the
unique mild solution to stochastic partial differential equations in a Hilbert space. We …

We investigate Markovian lifts of stochastic Volterra equations (SVEs) with completely
monotone kernels and general coefficients within a class of weighted Sobolev spaces. Our …

We investigate several aspects of solutions to stochastic evolution equations in Hilbert
spaces driven by a standard symmetric $\alpha $-stable cylindrical noise. Similarly to …

In this paper, we investigate the mean square error of numerical methods for SPDEs driven
by Gaussian and non-Gaussian noises. The Gaussian noise considered here is a Hilbert …

This is a review article which presents part of the contribution of Sergio Albeverio to the
study of existence and uniqueness of solutions of SPDEs driven by jump processes and …

We prove the existence and regularity of the isochron map for stable invariant manifolds of a
large class of evolution equations. Our results apply in particular to the isochron map of …

The purpose of this thesis is to lay down the theoretical foundations necessary for the
successful application of cylindrical Lévy processes as models of random perturbations of …

In this work we investigate the long-time behavior for Markov processes obtained as the
unique mild solution to stochastic partial differential equations in a Hilbert space. We …