4 citations · 7 across the 5 of their papers we have counts for
8 papers
Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown
Hitoshi Ishii, Kaizhi Wang, Lin Wang +1
We study the Hamilton-Jacobi equations in and in , where the Hamiltonian depends Lipschitz…
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…
Finite-time convergence of solutions of Hamilton-Jacobi equations
Kaizhi Wang, Jun Yan, Kai Zhao
Suppose that is strictly decreasing in and satisfies Tonelli conditions in . We show that each viscosity solution of can be reached by many viscosi…
Herglotz' variational principle and Lax-Oleinik evolution
Piermarco Cannarsa, Wei Cheng, Liang Jin +2
We develop an elementary method to give a Lipschitz estimate for the minimizers in the problem of Herglotz' variational principle proposed in \cite{CCWY2018} in the time-dependent…
Long Time Behavior of First Order Mean Field Games on Euclidean Space
Piermarco Cannarsa, Wei Cheng, Cristian Mendico +1
The aim of this paper is to study the long time behavior of solutions to deterministic mean field games systems on Euclidean space. This problem was addressed on the torus ${\mathb…
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…