48 citations · 347 across the 57 of their papers we have counts for
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math.AP2012
A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians
Filippo Cagnetti, Diogo Gomes, Hiroyoshi Mitake +1
We introduce a new machinery to study the large time behavior for general classes of Hamilton--Jacobi type equations, which include degenerate parabolic equations and weakly couple…
math.AP2012
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…
math.AP2012★ 21 cited
Homogenization of weakly coupled systems of Hamilton--Jacobi equations with fast switching rates
Hiroyoshi Mitake, Hung V. Tran
We consider homogenization for weakly coupled systems of Hamilton--Jacobi equations with fast switching rates. The fast switching rate terms force the solutions converge to the sam…