3 papers
math.AP2026
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance
F. -U. Caja-Lopez, Matias G. Delgadino, Jun Kitagawa
We establish several quantitative stability estimates for optimal transport maps between non-degenerate densities on uniformly convex domains for the quadratic cost. Under Hölder…
math.AP2026
Uniqueness of bounded solutions to the fuzzy Landau and multiespecies Landau equations
F. -U. Caja-Lopez
We prove uniqueness of weak solutions to the fuzzy Landau equation and the multiespecies Landau system under suitable integrability assumptions. The results are based on explicit s…
math.AP2025
Contractivity of Wasserstein distance and exponential decay for the Landau equation with Maxwellian molecules
F. -U. Caja-Lopez, M. G. Delgadino, M. -P. Gualdani +1
Following the breakthrough work of Guillen and Silvestre \cite{GS24}, that shows that the Fisher information is monotonically decreasing for solutions to the homogeneous Landau equ…