Jianlu Zhang

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20162023

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math.AP2023

Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures

Qinbo Chen, Albert Fathi, Maxime Zavidovique +1

Given a continuous Hamiltonian $H : (x, p, u) \mapsto H (x, p, u)$ defined on $T^{*} M \times R$ , where $M$ is a closed connected manifold, we study viscosity solutions, $u_λ: M\…

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\…