48 citations · 347 across the 57 of their papers we have counts for
4 papers · 2 filters
Stochastic homogenization of a nonconvex Hamilton-Jacobi equation
Scott N. Armstrong, Hung V. Tran, Yifeng Yu
We present a proof of qualitative stochastic homogenization for a nonconvex Hamilton-Jacobi equation. The new idea is to introduce a family of "sub-equations" and to control soluti…
Stochastic homogenization of viscous Hamilton-Jacobi equations and applications
Scott N. Armstrong, Hung V. Tran
We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (so…
Viscosity solutions of general viscous Hamilton-Jacobi equations
Scott N. Armstrong, Hung V. Tran
We present comparison principles, Lipschitz estimates and study state constraints problems for degenerate, second-order Hamilton-Jacobi equations.
Large-time behavior for obstacle problems for degenerate viscous Hamilton--Jacobi equations
Hiroyoshi Mitake, Hung Vinh Tran
Cagnetti, Gomes, Mitake and Tran (2013) introduced a new idea to study the large time behavior for degenerate viscous Hamilton--Jacobi equations. In this paper, we apply the method…