3 papers
math.PR2026
Martingale Solutions to a Stochastic Keller-Segel System with nonlocal Source and Super-linear Noise
Qian Li, Li Chen, Jinhuan Wang
Global nonnegative martingale solutions are shown to exist for a stochastic Keller-Segel system with a nonlocal Fisher-KPP source and super-linear multiplicative noise. The result…
math.AP2025
Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees
Fabrice Baudoin, Li Chen, Meng Yang
We study Sobolev and BV spaces on local trees which are metric spaces locally isometric to real trees. Such spaces are equipped with a Radon measure satisfying a locally uniform vo…
math.PR2025
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
This article aims at a proper definition and resolution of the parabolic Anderson model on Heisenberg groups . This stochastic PDE is understood in a pathwise (Stra…