Jun Yan

activity

20142022

most citedWeak KAM theory for general Hamilton-Jacobi equations II: the fundamental solution under Lipschitz conditions

1 citations · 2 across the 6 of their papers we have counts for

collaborators

Showing 2021 · math.APShow all

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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

On the negative limit of viscosity solutions for discounted Hamilton-Jacobi equations

Ya-Nan Wang, Jun Yan, Jianlu Zhang

Suppose $M$ is a closed Riemannian manifold. For a $C^{2}$ generic (in the sense of Mañé) Tonelli Hamiltonian $H : T^{*} M \to R$ , the minimal viscosity solution $u_λ^-:M\…