We prove pathwise uniqueness for stochastic differential equations driven by non-
degenerate symmetric α-stable Lévy processes with values in R^d having a bounded and β …

Abstract We consider degenerate Kolmogorov-Fokker-Planck operators L u=∑ i, j= 1 qaij (x,
t)∂ xixj 2 u+∑ k, j= 1 N bjkxk∂ xju−∂ tu,(x, t)∈ R N+ 1, N≥ q≥ 1 such that the …

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 consider a second-order parabolic equation in ℝ d+ 1 with possibly unbounded lower
order coefficients. All coefficients are assumed to be only measurable in the time variable …

We provide here some sharp Schauder estimates for degenerate PDEs of Kolmogorov type
when the coefficients lie in some suitable anisotropic H {\" o} lder spaces and the first order …

The second edition of this book has a new title that more accurately reflects the table of
contents. Over the past few years, many new results have been proven in the field of partial …

In this paper we develop a new method based on Littlewood-Paley's decomposition and
heat kernel estimates in integral form, to establish Schauder's estimate for the following …

In this paper we study nonlocal equations driven by the fractional powers of hypoelliptic
operators in the form $$\mathscr K u=\mathscr A u-\partial_t u\overset {def}{=}\operatorname …

We consider a SDE with a smooth multiplicative non-degenerate noise and a possibly
unbounded Hölder continuous drift term. We prove the existence of a global flow of …

In this paper we study singular kinetic equations on R 2 d by the paracontrolled distribution
method introduced in Gubinelli, Imkeller and Perkowski (Forum Math. Pi 3 (2015) e6–75) …