28 citations · 66 across the 11 of their papers we have counts for
4 papers · 1 filter
A new selection problem for degenerate viscous Hamilton-Jacobi equations
Qinbo Chen, Zhi-Xiang Zhu
We study a selection problem for degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians, in which the approximation procedure combines a nonlinear discounted approx…
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 defined on , where is a closed connected manifold, we study viscosity solutions, $u_λ: M\…
Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function
Qinbo Chen
Motivated by the vanishing contact problem, we study in the present paper the convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function. L…
Vanishing contact structure problem and convergence of the viscosity solutions
Qinbo Chen, Wei Cheng, Hitoshi Ishii +1
This paper is devoted to study the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a family of Hamiltonians of…