84 citations · 123 across the 7 of their papers we have counts for
7 papers
On the Kolmogorov equation associated with Volterra equations and Fractional Brownian Motion
Alessandro Bondi, Franco Flandoli
We consider a Volterra convolution equation in perturbed with an additive fractional Brownian motion of Riemann-Liouville type with Hurst parameter . We…
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift
G. Da Prato, F. Flandoli, M. Röckner +1
We prove pathwise uniqueness for a class of stochastic differential equations (SDE) on a Hilbert space with cylindrical Wiener noise, whose nonlinear drift parts are sums of the su…
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term
G. Da Prato, F. Flandoli, E. Priola +1
We consider stochastic evolution equations in Hilbert spaces with merely measurable and locally bounded drift term and cylindrical Wiener noise. We prove pathwise (hence strong…
Fokker-Planck equations for SPDE with non-trace class noise
G. Da Prato, F. Flandoli, M. Röckner
In this paper we develop a new technique to prove existence of solutions of Fokker-Planck equations on Hilbert spaces for Kolmogorov operators with non trace-class second order coe…
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
G. Da Prato, F. Flandoli, E. Priola +1
We prove pathwise (hence strong) uniqueness of solutions to stochastic evolution equations in Hilbert spaces with merely measurable bounded drift and cylindrical Wiener noise, thus…
Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift
F. Flandoli, M. Gubinelli, E. Priola
We consider a SDE with a smooth multiplicative non-degenerate noise and a possibly unbounded Holder continuous drift term. We prove existence of a global flow of diffeomorphisms by…
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
D. Barbato, F. Flandoli, F. Morandin
A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved a…