3 papers
math.AP2026
Generalized Hamiltonian gradient flow of contact type I: regularity of the fundamental solutions
Wei Cheng, Shengqing Hu, Kaizhi Wang
This paper studies generalized Hamiltonian gradient flows for contact-type Hamilton--Jacobi equations, adopting the variational framework of Herglotz's principle and its fundamenta…
math.DS2024
Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow
Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu
For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow is expansive. In this paper, we provide qualitative estimates for…
math.AP2024
Variational construction of singular characteristics and propagation of singularities
Piermarco Cannarsa, Wei Cheng, Jiahui Hong +1
On a smooth closed manifold , we introduce a novel theory of maximal slope curves for any pair with a semiconcave function and a Hamiltonian. By using the notion…