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arXiv · 2303.10634

Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis

Laurent Lafleche·Chiara Saffirio
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Abstract

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.

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Laurent Lafleche, Chiara Saffirio. 2023-03-19. Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis. https://doi.org/10.1007/978-3-031-65195-3_14

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