3 citations · 4 across the 3 of their papers we have counts for
4 papers
On weak solutions to first-order discount mean field games
Hiroyoshi Mitake, Kengo Terai
In this paper, we establish the existence and uniqueness of weak solutions to first-order discount mean field games and a stability result to give the existence for the ergodic pro…
Remarks on the vanishing discount problem for infinite systems of Hamilton-Jacobi-Bellman equations
Kengo Terai
This paper is concerned with the asymptotic analysis of infinite systems of weakly coupled stationary Hamilton-Jacobi-Bellman equations as the discount factor tends to zero. With a…
The selection problem for some first-order stationary mean-field games
Diogo A. Gomes, Hiroyoshi Mitake, Kengo Terai
Here, we study the existence and the convergence of solutions for the vanishing discount MFG problem with a quadratic Hamiltonian. We give conditions under which the discounted pro…
Uniqueness structure of weakly coupled systems of ergodic problems of Hamilton-Jacobi equations
Kengo Terai
Here, we address a uniqueness structure of viscosity solutions for ergodic problems of weakly coupled Hamilton-Jacobi systems. In particular, we study comparison principle with res…