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20102024
most citedA Lagrangian Approach to Weakly Coupled Hamilton-Jacobi Systems

3 citations · 6 across the 12 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.AP2012

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…

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…