Liang Jin

collaborators

2 papers

math.AP2026

On the inhomogeneous discounted Hamilton-Jacobi equations

Liang Jin, Jun Yan, Kai Zhao

In this paper, we study the family of inhomogeneous discounted Hamilton-Jacobi equations \begin{equation}\label{hjs1} Î»(x)u+h(x,d_x u)=c \quad \tag{ $*$ } \end{equation} on a clo…

math.DS2024

Smooth subsolutions of the discounted Hamilton-Jacobi equations

Xiyao Huang, Liang Jin, Jianlu Zhang +1

For the discounted Hamilton-Jacobi equation, $I^» u + H (x, d_{x} u) = 0, x \in M,$ we construct $C^{1, 1}$ subsolutions which are indeed solutions on the projected Aubry set. The smoothne…