6 citations · 6 across the 7 of their papers we have counts for
9 papers
Exponential integrability of the solution to the stochastic Burgers equation driven by white noise
Francesco C. De Vecchi, Josef Janák, Enrico Priola
We study stochastic Burgers equation driven by a rough noise , where is the Laplacian in one dimension with Dirichlet boundary conditions, and . We p…
Stochastic transport equation with Lévy noise
Zdzisław Brzeźniak, Enrico Priola, Jianliang Zhai +1
We study the stochastic transport equation with globally -Hölder continuous and bounded vector field driven by a non-degenerate pure-jump Lévy noise of -stable type. Whereas…
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…
Mild solutions of HJB equations associated with cylindrical stable Lévy noise in infinite dimensions
Alessandro Bondi, Fausto Gozzi, Enrico Priola +1
We study the optimal control of an infinite-dimensional stochastic system governed by an SDE in a separable Hilbert space driven by cylindrical stable noise. We establish the exist…
Parameter estimation from local measurements for a class of stochastic Burgers equations
Josef Janák, Enrico Priola
We deal with a class of semilinear SPDEs driven by space-time white noise that includes the one dimensional stochastic Burgers equation. Such equations can have nonlocal and quadra…
One-side Liouville theorems under an exponential growth condition for Kolmogorov operators
Enrico Priola
It is known that for a possibly degenerate hypoelliptic Ornstein-Uhlenbeck operator $$ L= \frac{1}{2}\text{ tr} (QD^2 ) + \langle Ax, D \rangle = \frac{1}{2}\text{ div} (Q D ) + \l…
Regular stochastic flow and Dynamic Programming Principle for jump diffusions
Alessandro Bondi, Enrico Priola
Given a Brownian motion and a stationary Poisson point process with values in , we prove a Dynamic Programming Principle (DPP) in a strong formulation for a…
A counterexample to -gradient type estimates for Ornstein-Uhlenbeck operators
Emanuele Dolera, Enrico Priola
Let be a strictly increasing sequence of positive numbers such that Let be a bounded smooth function and denote by $u= u^…
$L^$p Estimates For Degenerate Non-Local Kolmogorov Operators
L. Huang, S. Menozzi, E. Priola
Let , with . We prove a priori estimates of the following type :$$\|Δ\_{x}^{\frac α2} v \|\_{L^p({\mathbb R}^N)}…