EDJ Associates

output

20212026

Showing 2025Show all

2 papers · 1 filter

math.FA2025

Higher-order affine Sobolev inequalities

Tristan Bullion-Gauthier

Zhang refined the classical Sobolev inequality $∥ f ∥_{L^{N p / (N - p)}} ≲ ∥\nabla f ∥_{L^{p}}$ , where $1 \leq p < N$ , by replacing $∥\nabla f ∥_{L^{p}}$ with a smaller quantit…

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…