6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AP2026★ 1 cited
Relatively non-degenerate integrated decay estimates for massless Vlasov fields on Schwarzschild spacetimes
Léo Bigorgne, Renato Velozo Ruiz
In this article, we make use of a weight function capturing the concentration phenomenon of unstable future-trapped causal geodesics. A projection , on the tangent space of th…
math.AP2026★ 6 cited
Decay estimates for the massless Vlasov equation on Schwarzschild spacetimes
Léo Bigorgne
We consider solutions to the massless Vlasov equation on the domain of outer communications of the Schwarschild black hole. By adapting the r^p-weighted energy method of Dafermos a…
math.AP2026
Homeomorphic modified wave operators for the Vlasov-Poisson system
Léo Bigorgne
We prove modified scattering for small data solutions to the Vlasov-Poisson system in a functional framework where the initial data, scattering states, and asymptotic convergence a…