41 citations · 43 across the 4 of their papers we have counts for
4 papers
Measurability of optimal transportation and strong coupling of martingale measures
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
We consider the optimal mass transportation problem in $\RR^d$ with measurably parameterized marginals, for general cost functions and under conditions ensuring the existence of a…
Well-posedness of the spatially homogeneous Landau equation for soft potentials
Hélène Guerin, Nicolas Fournier
We consider the spatially homogeneous Landau equation of kinetic theory, and provide a differential inequality for the Wasserstein distance with quadratic cost between two solution…
On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity
Nicolas Fournier, Hélène Guérin
We prove an inequality on the Wasserstein distance with quadratic cost between two solutions of the spatially homogeneous Boltzmann equation without angular cutoff, from which we d…
Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential equations. For a specific…