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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.DS2021
Global propagation of singularities for discounted Hamilton-Jacobi equations
Cui Chen, Jiahui Hong, Kai Zhao
The main purpose of this paper is to study the global propagation of singularities of viscosity solution to discounted Hamilton-Jacobi equation \begin{equation}\label{eq:discount 1…