3 papers
math.AP2026
Existence of a solution of the TV Wasserstein gradient flow
Kexin Lin, Filippo Santambrogio
On the flat torus in any dimension we prove existence of a solution to the TV Wasserstein gradient flow equation, only assuming that the initial density is bounded from belo…
math.AP2025
Convergence of the fully discrete JKO scheme
Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme provides the discrete-in-time approximation for the solutions of evolutionary equations with Wasserstein gradient structure. We study a natural space-discretization…
math.AP2025
Using Sinkhorn in the JKO scheme adds linear diffusion
Aymeric Baradat, Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme is a time-discrete scheme of implicit Euler type that allows to construct weak solutions of evolution PDEs which have a Wasserstein gradient structure. The purpose o…