Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914961997955072 |
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| author | Lafleche, Laurent Saffirio, Chiara |
| author_facet | Lafleche, Laurent Saffirio, Chiara |
| contents | We review some uniqueness criteria for the Vlasov--Poisson system, emerging as corollaries of stability estimates in strong or weak topologies, and show how they serve as a guideline to solve problems arising in semiclassical analysis. Different topologies allow to treat different classes of quantum states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10634 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis Lafleche, Laurent Saffirio, Chiara Analysis of PDEs Mathematical Physics 35Q83, 81Q20, 35Q55 (Primary) 82C10, 82C05 (Secondary) We review some uniqueness criteria for the Vlasov--Poisson system, emerging as corollaries of stability estimates in strong or weak topologies, and show how they serve as a guideline to solve problems arising in semiclassical analysis. Different topologies allow to treat different classes of quantum states. |
| title | Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis |
| topic | Analysis of PDEs Mathematical Physics 35Q83, 81Q20, 35Q55 (Primary) 82C10, 82C05 (Secondary) |
| url | https://arxiv.org/abs/2303.10634 |