6 citations · 16 across the 14 of their papers we have counts for
14 papers
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 in and in , where the Hamiltonian depends Lipschitz…
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 with certain dependence on the contact variable . For the Lip…
A representation formula of the viscosity solution of the contact Hamilton-Jacobi equation and its applications
Panrui Ni, Lin Wang, Jun Yan
Assume is a closed, connected and smooth Riemannian manifold. We consider the evolutionary Hamilton-Jacobi equation \begin{equation*} \left\{ \begin{aligned} &\partial_t u(x,t)…
Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
Kaizhi Wang, Lin Wang, Jun Yan
We consider the Hamilton-Jacobi equation \[{H}(x,u,Du)=0,\quad x\in M, \] where is a connected, closed and smooth Riemannian manifold, satisfies Tonelli conditions…
Aubry-Mather and weak KAM theories for contact Hamiltonian systems. Part 1: Strictly increasing case
Kaizhi Wang, Lin Wang, Jun Yan
This paper is concerned with the study of Aubry-Mather and weak KAM theories for contact Hamiltonian systems with Hamiltonians defined on , satisfy…
A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect
Liang Jin, Lin Wang, Jun Yan
Based on a fixed point argument, we give a {\it dynamical representation} of the viscosity solution to Cauchy problem of certain weakly coupled systems of Hamilton-Jacobi equations…