Jianlu Zhang

activity

20122023

most citedConvergence of viscosity solutions of generalized contact Hamilton-Jacobi equations

16 citations · 64 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.AP2023★ 1 cited

Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint

Son Tu, Jianlu Zhang

For a continuous Hamiltonian $H : (x, p, u) \in T^{*} R^{n} \times R \to R$ , we consider the asymptotic behavior of associated Hamilton--Jacobi equatio…

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\…