28 citations · 39 across the 14 of their papers we have counts for
14 papers
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…
Time-periodic solutions of contact Hamilton-Jacobi equations on the circle
Kaizhi Wang, Jun Yan, Kai Zhao
We are concerned with the existence and multiplicity of nontrivial time-periodic viscosity solutions to \[ \partial_t w(x,t) + H( x,\partial_x w(x,t),w(x,t) )=0,\quad (x,t)\in \mat…
On blowup of regularized solutions to Jang equation and constant expansion surfaces
Kai-Wei Zhao
In this paper, we analyze the blowup behavior of regularized solutions to Jang equation inside apparent horizons. This extends the analyses outside apparent horizons done by Schoen…
Global propagation of singularities for discounted Hamilton-Jacobi equations
Cui Chen, Jiahui Hong, Kai Zhao
The main purpose of this paper is to study the global propagation of singularities of viscosity solution to discounted Hamilton-Jacobi equation \begin{equation}\label{eq:discount 1…
Viscosity subsoltions of Hamilton-Jacobi equations and Invariant sets of contact Hamilton systems
Xiang Shu, Jun Yan, Kai Zhao
The objective of this paper is to present some results about viscosity subsolutions of the contact Hamiltonian-Jacobi equations on connected, closed manifold $$ H(x,\partial_x…