3 citations · 7 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
Yoshikazu Giga, Hiroyoshi Mitake, Hung V. Tran
We study a level-set mean curvature flow equation with driving and source terms, and establish convergence results on the asymptotic behavior of solutions as time goes to infinity…
On a discrete scheme for time fractional fully nonlinear evolution equations
Yoshikazu Giga, Qing Liu, Hiroyoshi Mitake
We introduce a discrete scheme for second order fully nonlinear parabolic PDEs with Caputo's time fractional derivatives. We prove the convergence of the scheme in the framework of…
Generalized ergodic problems: existence and uniqueness structures of solutions
Wenjia Jing, Hiroyoshi Mitake, Hung V. Tran
We study a generalized ergodic problem (E), which is a Hamilton-Jacobi equation of contact type, in the flat -dimensional torus. We first obtain existence of solutions to this p…