4 citations · 7 across the 6 of their papers we have counts for
7 papers
Sobolev embeddings for kinetic Fokker-Planck equations
Andrea Pascucci, Antonello Pesce
We introduce intrinsic Sobolev-Slobodeckij spaces for a class of ultra-parabolic Kolmogorov type operators satisfying the weak Hörmander condition. We prove continuous embeddings i…
Approximation and Interpolation in Kolmogorov-type groups
Antonello Pesce
We prove a real interpolation characterization for some non Euclidean Hölder spaces, built on the Lie structure induced by a class of ultra-parabolic Kolmogorov-type operators sati…
Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients
P Chaudru de Raynal, S Menozzi, A Pesce +1
We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov stochastic differentia equations. Our results are established under somehow minimal…
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift
S. Menozzi, A. Pesce, X. Zhang
We consider non degenerate Brownian SDEs with H{ö}lder continuous in space diffusion coefficient and unbounded drift with linear growth. We derive two sided bounds for the associat…
Backward and forward filtering under the weak Hörmander condition
Andrea Pascucci, Antonello Pesce
We derive the forward and backward filtering equations for a class of degenerate partially observable diffusions, satisfying the weak Hörmander condition. Our approach is based on…
On stochastic Langevin and Fokker-Planck equations: the two-dimensional case
Andrea Pascucci, Antonello Pesce
We prove existence, regularity in Hölder classes and estimates from above and below of the fundamental solution of the stochastic Langevin equation. This degenerate SPDE satisfies…