1 citations · 3 across the 4 of their papers we have counts for
4 papers
Variational principle for contact Tonelli Hamiltonian systems
Lin Wang, Jun Yan
We establish an implicit variational principle for the equations of the contact flow generated by the Hamiltonian with respect to the contact 1-form under Ton…
Weak KAM theory for general Hamilton-Jacobi equations I: the solution semigroup under proper conditions
Xifeng Su, Lin Wang, Jun Yan
We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=ϕ(…
Weak KAM theory for general Hamilton-Jacobi equations II: the fundamental solution under Lipschitz conditions
Lin Wang, Jun Yan
We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=ϕ(…
Weak KAM theory for general Hamilton-Jacobi equations III: the variational principle under Osgood conditions
Lin Wang, Jun Yan
We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=ϕ(…