Jianlu Zhang

collaborators

2 papers

math.DS2024

Smooth subsolutions of the discounted Hamilton-Jacobi equations

Xiyao Huang, Liang Jin, Jianlu Zhang +1

For the discounted Hamilton-Jacobi equation, $I^» u + H (x, d_{x} u) = 0, x \in M,$ we construct $C^{1, 1}$ subsolutions which are indeed solutions on the projected Aubry set. The smoothne…

math.AP2024

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…