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math.DS2021
Aubry-Mather theory for contact Hamiltonian systems II
Kaizhi Wang, Lin Wang, Jun Yan
In this paper, we continue to develop Aubry-Mather and weak KAM theories for contact Hamiltonian systems with certain dependence on the contact variable . For the Lip…
math.DS2018
Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
Kaizhi Wang, Lin Wang, Jun Yan
We consider the Hamilton-Jacobi equation \[{H}(x,u,Du)=0,\quad x\in M, \] where is a connected, closed and smooth Riemannian manifold, satisfies Tonelli conditions…
math.DS2015★ 1 cited
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…