77 citations · 191 across the 52 of their papers we have counts for
11 papers · 1 filter
Sweeping process by prox-regular sets in Riemannian Hilbert manifolds
Frédéric Bernicot, Juliette Venel
In this paper, we deal with sweeping processes on (possibly infinite-dimensional) Riemannian Hilbert manifolds. We extend the useful notions (proximal normal cone, prox-regularity)…
Heat semigroup and singular PDEs
I. Bailleul, F. Bernicot
We provide in this work a semigroup approach to the study of singular PDEs, in the line of the paracontrolled approach developed recently by Gubinelli, Imkeller and Perkowski. Star…
Gaussian heat kernel bounds through elliptic Moser iteration
Frédéric Bernicot, Thierry Coulhon, Dorothee Frey
On a doubling metric measure space endowed with a "carré du champ", we consider estimates of the gradient of the heat semigroup and scale-invariant Poincaré ine…
On the inviscid limit of the 2D Euler equations with vorticity along the scale
Frederic Bernicot, Tarek M. Elgindi, Sahbi Keraani
In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in \mbox{} was proved, where is a Banach space which is…
Bilinear dispersive estimates via space-time resonances, part II: dimensions 2 and 3
Frederic Bernicot, Pierre Germain
Consider a bilinear interaction between two linear dispersive waves with a generic resonant structure (roughly speaking, space and time resonant sets intersect transversally). We d…
On the global well-posedness for Euler equations with unbounded vorticity
Frederic Bernicot, Taoufik Hmidi
In this paper, we are interested in the global persistence regularity for the 2D incompressible Euler equations in some function spaces allowing unbounded vorticities. More precise…