6 papers
Dual-Inertial Bregman Methods with Energy-Based Safeguarding
Kangming Chen
We develop dual-inertial Bregman proximal methods for convex optimization and analyze their convergence through an exact signed-drift representation. For unrestarted iterations, on…
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…
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…
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…
Parabolic Anderson model in bounded domains of recurrent metric measure spaces
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
A metric measure space equipped with a Dirichlet form is called recurrent if its Hausdorff dimension is less than its walk dimension. In bounded domains of such spaces we study the…
Heat kernel gradient estimates for the Vicsek set
Fabrice Baudoin, Li Chen
We prove pointwise and gradient estimates for the heat kernel on the bounded and unbounded Vicsek set and applications to Sobolev inequalities are given. We also define a Hod…