4 papers · 1 filter
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} λ(x)u+h(x,d_x u)=c \quad \tag{} \end{equation} on a clos…
Convergence/divergence phenomena in the vanishing discount limit of Hamilton-Jacobi equations
Andrea Davini, Panrui Ni, Jun Yan +1
We study the asymptotic behavior of solutions of an equation of the form \begin{equation}\label{abs}\tag{*} G\big(x, D_x u,λu(x)\big) = c_0\qquad\hbox{in } \end{equation} on a c…
Stability of solutions to contact Hamilton-Jacobi equation on the circle
Yang Xu, Jun Yan, Kai Zhao
Combing the weak KAM method for contact Hamiltonian systems and the theory of viscosity solutions for Hamilton-Jacobi equations, we study the Lyapunov stability and instability of…
Time periodic and almost periodic viscosity solutions of contact Hamilton-Jacobi equations on
Kaizhi Wang, Jun Yan, Kai Zhao
This paper concerns with the time periodic viscosity solution problem for a class of evolutionary contact Hamilton-Jacobi equations with time independent Hamiltonians on the torus…