3 papers
math.AP2025
Global propagation of singularities for magnetic mechanical systems
Piermarco Cannarsa, Wei Cheng, Jiahui Hong +1
We prove that singularities propagate globally for viscosity solutions of Hamilton-Jacobi equations related to magnetic mechanical systems on closed Riemannian manifolds. Our main…
math.AP2025
Singularities and their propagation in optimal transport
Piermarco Cannarsa, Wei Cheng, Tianqi Shi +1
In this paper, we investigate the singularities of potential energy functionals \(Ï(\cdot)\) associated with semiconcave functions \(Ï\) in the Borel probability measure space an…
math.DS2024
A geometric approach to Mather quotient problem
Wei Cheng, Wenxue Wei
Let be a closed, connected and orientable Riemannian manifold with nonnegative Ricci curvature. Consider a Lagrangian defined by $L(x,v):=\frac 12g_x(v,v)-…