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most citedTime periodic solutions of first order mean field games from the perspective of Mather theory

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math.AP2024

Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems

Hiroyoshi Mitake, Panrui Ni

Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence $O(\sq…

math.AP2024★ 1 cited

Time periodic solutions of first order mean field games from the perspective of Mather theory

Panrui Ni

In this paper, the existence of non-trivial time periodic solutions of first order mean field games is proved. It is assumed that there is a non-trivial periodic orbit contained in…