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On the classical solutions of the initial value problem for the unmodified non‐linear Vlasov equation I general theory
Author(s) -
Horst E.,
Neunzert H.
Publication year - 1981
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.1670030117
Subject(s) - mathematics , uniqueness , initial value problem , vlasov equation , mathematical analysis , coulomb , value (mathematics) , interval (graph theory) , plasma , physics , statistics , quantum mechanics , electron , combinatorics
We study existence and uniqueness of classical solutions of the initial value problem for Vlasov's equation with an unmodified Newtonian or Coulomb force. We give a necessary and sufficient condition for the existence of a solution on an interval I.
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