Jiahui Hong

collaborators

2 papers

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 $(T_{t}, C (M))$ is expansive. In this paper, we provide qualitative estimates for…

math.AP2023

Topological and control theoretic properties of Hamilton-Jacobi equations via Lax-Oleinik commutators

Piermarco Cannarsa, Wei Cheng, Jiahui Hong

In the context of weak KAM theory, we discuss the commutators ${T_{t}^{-} \circ T_{t}^{+}}_{t ⩾ 0}$ and ${T_{t}^{+} \circ T_{t}^{-}}_{t ⩾ 0}$ of Lax-Oleinik operators. We characteriz…