arXiv:1907.05155v2 [math.AP] 30 Jul 2019 Page 1 arXiv:1907.05155v2 [math.AP] 30 Jul 2019
A survey on the classical theory for Kolmogorov equation Francesca Anceschi ∗ Sergio …

We consider a class of degenerate equations in non-divergence form satisfying a parabolic
Hörmander condition, with coefficients that are measurable in time and Hölder continuous in …

We prove existence, regularity in Hölder classes and estimates from above and below of the
fundamental solution of the stochastic Langevin equation that is a degenerate SPDE …

The aim of this work is to prove the existence of a fundamental solution associated to the
Kolmogorov equation L u= f in the dilation invariant case, with bounded measurable first …

Abstract We introduce intrinsic Sobolev-Slobodeckij spaces for a class of ultra-parabolic
Kolmogorov type operators satisfying the weak Hörmander condition. We prove continuous …

We prove global Schauder estimates for kinetic Kolmogorov equations with coefficients that
are H\" older continuous in the spatial variables but only measurable in time. Compared to …

The paper is concerned with a McKean-Vlasov type SDE with drift in anisotropic Besov
spaces with negative regularity and with degenerate diffusion matrix under the weak H {\" o} …

We study the regularity properties of the second order linear operator in $\mathbb {R}^{N+ 1}
$:\begin {equation*}\mathscr {L} u:=\sum_ {j, k= 1}^{m} a_ {jk}\partial_ {x_j x_k}^ 2 u+\sum …

We consider a class of degenerate equations satisfying a parabolic H\" ormander condition,
with coefficients that are measurable in time and H\" older continuous in the space variables …

We introduce anisotropic H\" older spaces useful for the study of the regularity theory for non
local kinetic operators $\mathcal {L} $ whose prototypal example is\begin {equation}\mathcal …