1 citations · 1 across the 4 of their papers we have counts for
4 papers
A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations
Guy Barles, Hitoshi Ishii, Hiroyoshi Mitake
We introduce a new PDE approach to establishing the large time asymptotic behavior of solutions of Hamilton-Jacobi equations, which modifies and simplifies the previous ones (Barle…
A dynamical approach to the large-time behavior of solutions to weakly coupled systems of Hamilton--Jacobi equations
Hiroyoshi Mitake, Hung V. Tran
We investigate the large-time behavior of the value functions of the optimal control problems on the -dimensional torus which appear in the dynamic programming for the system wh…
Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton--Jacobi equations
Hiroyoshi Mitake, Hung V. Tran
We investigate the large-time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton--Jacobi equations on the -dimensional torus. We establish a co…
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations
Guy Barles, Hiroyoshi Mitake
We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians. We consider the Neumann or obliq…