Time periodic solutions of first order mean field games from the perspective of Mather theory
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913196224282624 |
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| author | Ni, Panrui |
| author_facet | Ni, Panrui |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time periodic solutions of first order mean field games from the perspective of Mather theory Ni, Panrui Analysis of PDEs 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. |
| title | Time periodic solutions of first order mean field games from the perspective of Mather theory |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.07155 |