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

Panrui Ni

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arXiv · 2401.07155

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

Panrui Ni

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Abstract

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 the Mather set. The whole system is autonomous with a monotonic coupling term. Moreover, the large time convergence of solutions of first order mean field games to time periodic solutions is also considered.

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Panrui Ni. 2024-01-13. Time periodic solutions of first order mean field games from the perspective of Mather theory. https://arxiv.org/abs/2401.07155

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