32 citations · 86 across the 32 of their papers we have counts for
32 papers
Selection of critical solutions in non-monotone vanishing discount problems
Panrui Ni, Jun Yan, Maxime Zavidovique
We study a generalized vanishing discount problem for Hamilton--Jacobi equations without assuming monotonicity either pointwise or in the averaged sense with respect to all Mather…
A PDE formulation of Lyapunov stability for contact-type Hamilton-Jacobi equations
Panrui Ni, Jun Yan
We study the Lyapunov stability of stationary solutions to contact-type Hamilton-Jacobi equations on a compact manifold. Previous works typically assume Tonelli Hamiltonians…
Static class-guided selection of elementary solutions in non-monotone vanishing discount problems
Panrui Ni, Jun Yan, Maxime Zavidovique
We study a generalized vanishing discount problem for Hamilton--Jacobi equations, removing the standard monotonicity assumption, either in a global sense or when integrated against…
Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity
Yuqi Ruan, Kaizhi Wang, Jun Yan
We consider the evolutionary Hamilton-Jacobi equation \begin{align*} w_t(x,t)+H(x,Dw(x,t),w(x,t))=0, \quad(x,t)\in M\times [0,+\infty), \end{align*} where is a compact manifold…
Variational construction of connecting orbits between Legendrian graphs
Liang Jin, Jun Yan, Kai Zhao
Motivated by the problem of global stability of thermodynamical equilibria in non-equilibrium thermodynamics formulated in a recent paper [12], we introduce some mechanisms for con…
Nonlinear semigroup approach to Hamilton-Jacobi equations -- A toy model
Liang Jin, Jun Yan, Kai Zhao
In this paper, we discuss the existence and multiplicity problem of viscosity solution to the Hamilton-Jacobi equation where is a closed ma…