6 papers · 1 filter
Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift
Francesca Anceschi, Giacomo Ascione, Daniele Castorina +1
We consider Kolmogorov-Fokker-Planck equations with unbounded drift terms which are only measurable in time and locally Hölder continuous in space. In particular, we extend the par…
Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator
Francesca Anceschi, Sergio Polidoro, Annalaura Rebucci
We consider a class of second order degenerate kinetic operators in the framework of special relativity. We first describe as an Hörmander operator whic…
Spatial regularity for a class of degenerate Kolmogorov equations
Francesca Anceschi
We establish spatial a priori estimates for the solution u to a class of dilation invariant Kolmogorov equation, where u is assumed to only have a certain amount of regularity in t…
A note on the weak regularity theory for degenerate Kolmogorov equations
Francesca Anceschi, Annalaura Rebucci
The aim of this work is to prove a Harnack inequality and the Hölder continuity for weak solutions to the Kolmogorov equation with measurable coefficients, inte…
A survey on the classical theory for Kolmogorov equation
Francesca Anceschi, Sergio Polidoro
We present a survey on the regularity theory for classic solutions to subelliptic degenerate Kolmogorov equations. In the last part of this note we present a detailed proof of a Ha…
Moser's estimates for degenerate Kolmogorov equations with non-negative divergence lower order coefficients
Francesca Anceschi, Sergio Polidoro, Maria Alessandra Ragusa
We prove the local boundedness of the solutions to degenerate second order partial differential equations of Kolmogorov type with measurable coefficients in divergence form, under…