We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov stochastic differentia equations. Our results are established under somehow minimal assumptions that guarantee the SDE is weakly well posed
In this thesis, we address several problems arising in the study of nondegenerate and degenerate par...
We investigate spatial moduli of non-differentiability for the fourth-order linearized Kuramoto–Siva...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...
We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov sto...
We consider regularity properties of stochastic kinetic equations with multiplicative noise and drif...
International audienceWe consider regularity properties of stochastic kinetic equations with multipl...
We prove regularization properties in short time for inhomogeneous kinetic equations whose collision...
International audienceWe provide new regularity results for the solutions of the Kolmogorov equation...
AbstractBy using finite-dimensional approximations and a recent result on gradient estimates for sin...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
We investigate well-posedness for martingale solutions of stochastic differential equations, under l...
Abstract. We obtain Calderón-Zygmund estimates for some degenerate equa-tions of Kolmogorov type wi...
AbstractIt is known that the couple formed by the two-dimensional Brownian motion and its Lévy area ...
We study the regularity of the probability density function of the supremum of the solution to the l...
We consider the heat equation associated with a class of hypoelliptic operators of Kolmogorov-Fokker...
In this thesis, we address several problems arising in the study of nondegenerate and degenerate par...
We investigate spatial moduli of non-differentiability for the fourth-order linearized Kuramoto–Siva...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...
We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov sto...
We consider regularity properties of stochastic kinetic equations with multiplicative noise and drif...
International audienceWe consider regularity properties of stochastic kinetic equations with multipl...
We prove regularization properties in short time for inhomogeneous kinetic equations whose collision...
International audienceWe provide new regularity results for the solutions of the Kolmogorov equation...
AbstractBy using finite-dimensional approximations and a recent result on gradient estimates for sin...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
We investigate well-posedness for martingale solutions of stochastic differential equations, under l...
Abstract. We obtain Calderón-Zygmund estimates for some degenerate equa-tions of Kolmogorov type wi...
AbstractIt is known that the couple formed by the two-dimensional Brownian motion and its Lévy area ...
We study the regularity of the probability density function of the supremum of the solution to the l...
We consider the heat equation associated with a class of hypoelliptic operators of Kolmogorov-Fokker...
In this thesis, we address several problems arising in the study of nondegenerate and degenerate par...
We investigate spatial moduli of non-differentiability for the fourth-order linearized Kuramoto–Siva...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...