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math.AP2021
On the negative limit of viscosity solutions for discounted Hamilton-Jacobi equations
Ya-Nan Wang, Jun Yan, Jianlu Zhang
Suppose is a closed Riemannian manifold. For a generic (in the sense of Mañé) Tonelli Hamiltonian , the minimal viscosity solution $u_λ^-:M\…
math.DS2021
Parameterized viscosity solutions of convex Hamiltonian systems with time periodic damping
Ya-Nan Wang, Jun Yan, Jianlu Zhang
In this article we develop an analogue of Aubry Mather theory for time periodic dissipative equation \[ \left\{ \begin{aligned} \dot x&=\partial_p H(x,p,t),\\ \dot p&=-\partial_x H…