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…