10 citations · 15 across the 5 of their papers we have counts for
5 papers
Strong regularization by noise for a class of kinetic SDEs driven by symmetric α-stable processes
Giacomo Lucertini, Stéphane Menozzi, Stefano Pagliarani
We establish strong well-posedness for a class of degenerate SDEs of kinetic type with autonomous diffusion driven by a symmetric -stable process under Hölder regularity conditi…
A kinetic Nash inequality and precise boundary behavior of the kinetic Fokker-Planck equation
Christopher Henderson, Giacomo Lucertini, Weinan Wang
In this paper, we prove a kinetic Nash type inequality and adapt it to a new functional inequality for functions in a kinetic Sobolev space with absorbing boundary conditions on th…
Optimal Schauder estimates for kinetic Kolmogorov equations with time measurable coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We prove global Schauder estimates for kinetic Kolmogorov equations with coefficients that are Hölder continuous in the spatial variables but only measurable in time. Compared to o…
Strong regularization by noise for kinetic SDEs
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
In this paper we prove strong well-posedness for a system of stochastic differential equations driven by a degenerate diffusion satisfying a weak-type Hörmander condition, assuming…
Optimal regularity for degenerate Kolmogorov equations with rough coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We consider a class of degenerate equations satisfying a parabolic Hörmander condition, with coefficients that are measurable in time and Hölder continuous in the space variables.…