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Weak solutions of the initial‐boundary value problem for the Vlasov–Poisson system
Author(s) -
Abdallah Naoufel Ben
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670170604
Subject(s) - mathematics , boundary value problem , poisson distribution , limit (mathematics) , mathematical analysis , initial value problem , fixed point theorem , order (exchange) , statistics , finance , economics
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.