28 citations · 39 across the 14 of their papers we have counts for
6 papers · 1 filter
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…
Multi-objective Herglotz' variational principle and cooperative Hamilton-Jacobi systems
Wei Cheng, Kai Zhao, Min Zhou
We study a multi-objective variational problem of Herglotz' type with cooperative linear coupling. We established the associated Euler-Lagrange equations and the characteristic sys…
Finite-time convergence of solutions of Hamilton-Jacobi equations
Kaizhi Wang, Jun Yan, Kai Zhao
Suppose that is strictly decreasing in and satisfies Tonelli conditions in . We show that each viscosity solution of can be reached by many viscosi…