WEAK SOLUTIONS OF THE INITIAL-BOUNDARY VALUE-PROBLEM FOR THE VLASOV-POISSON SYSTEM

Authors
BENABDALLAH N
Citation
N. Benabdallah, WEAK SOLUTIONS OF THE INITIAL-BOUNDARY VALUE-PROBLEM FOR THE VLASOV-POISSON SYSTEM, Mathematical methods in the applied sciences, 17(6), 1994, pp. 451-476
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
17
Issue
6
Year of publication
1994
Pages
451 - 476
Database
ISI
SICI code
0170-4214(1994)17:6<451:WSOTIV>2.0.ZU;2-I
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 w e pass to the limit using an energy estimate.