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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…