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math.AP2023

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…

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…