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math.AP2021
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…
math.AP2021
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…
math.AP2021★ 5 cited
On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics
Francesca Anceschi, Yuzhe Zhu
We investigate the Cauchy problem and the diffusion asymptotics for a spatially inhomogeneous kinetic model associated to a nonlinear Fokker-Planck operator. We derive the global w…