Jun Yan

activity

20122026

most citedHerglotz' variational principle and Lax-Oleinik evolution

4 citations · 9 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AP2021★ 2 cited

Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown

Hitoshi Ishii, Kaizhi Wang, Lin Wang +1

We study the Hamilton-Jacobi equations $H (x, D u, u) = 0$ in $M$ and $\partial u / \partial t + H (x, D_{x} u, u) = 0$ in $M \times (0, \infty)$ , where the Hamiltonian $H = H (x, p, u)$ depends Lipschitz…

math.DS2021

Aubry-Mather theory for contact Hamiltonian systems II

Kaizhi Wang, Lin Wang, Jun Yan

In this paper, we continue to develop Aubry-Mather and weak KAM theories for contact Hamiltonian systems $H (x, u, p)$ with certain dependence on the contact variable $u$ . For the Lip…

math.DS2021

Parameterized viscosity solutions of convex Hamiltonian systems with time periodic damping

Ya-Nan Wang, Jun Yan, Jianlu Zhang

In this article we develop an analogue of Aubry Mather theory for time periodic dissipative equation \[ \left\{ \begin{aligned} \dot x&=\partial_p H(x,p,t),\\ \dot p&=-\partial_x H…

math.AP2021★ 1 cited

Finite-time convergence of solutions of Hamilton-Jacobi equations

Kaizhi Wang, Jun Yan, Kai Zhao

Suppose that $H (x, u, p)$ is strictly decreasing in $u$ and satisfies Tonelli conditions in $p$ . We show that each viscosity solution of $H (x, u, u_{x}) = 0$ can be reached by many viscosi…