The Cauchy Problem for the 3-D Vlasov–Poisson System with Point Charges
✍ Scribed by Carlo Marchioro; Evelyne Miot; Mario Pulvirenti
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 280 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0003-9527
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## Abstract In this work, we study the existence of time periodic weak solution for the __N__‐dimensional Vlasov–Poisson system with boundary conditions. We start by constructing time periodic solutions with compact support in momentum and bounded electric field for a regularized system. Then, the
## Abstract In this paper we show the existence of a weak solution of the boundary value problem for the time dependent Vlasov–Poisson system. First, we regularize the system in order to apply a fixed‐point theorem. Then we pass to the limit using an energy estimate.