On global classical solutions of the three dimensional relativistic Vlasov-Darwin system (Q2820874)

The purpose of this paper is to study the relativistic Vlasov-Darwin system (RVDS), or its equivalent, called RVDG.NEWLINENEWLINEThe first theorem states that there exists a unique classical solution to the RVDG on a maximal interval, which satisfies certain conditions. Another theorem relates a global classical solution to the Cauchy problem of the RVDG to all solutions of a similar problem.NEWLINENEWLINEThe proofs use Fubinis theorem, mean value theorem, Cauchy sequences, Cauchy-Schwarz, Jensen, Poincaré, Hölder, Gronwall inequalities, and the Gronwall lemma.