28 citations · 39 across the 14 of their papers we have counts for
Showing 2021 · math.APShow all
3 papers · 2 filters
math.AP2021
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…
math.AP2021★ 1 cited
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…
math.AP2021★ 1 cited
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…