7 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2014★ 5 cited
Selection problems for a discounted degenerate viscous Hamilton--Jacobi equation
Hiroyoshi Mitake, Hung V. Tran
We prove that the solution of the discounted approximation of a degenerate viscous Hamilton--Jacobi equation with convex Hamiltonians converges to that of the associated ergodic pr…
math.AP2014★ 7 cited
Existence for stationary mean field games with quadratic Hamiltonians with congestion
Diogo A. Gomes, Hiroyoshi Mitake
In this paper, we investigate the existence and uniqueness of solutions to a stationary mean field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadr…
math.AP2010
Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations
Guy Barles, Olivier Ley, Hiroyoshi Mitake
We describe a method to show short time uniqueness results for viscosity solutions of general nonlocal and non-monotone second-order geometric equations arising in front propagatio…