CONTENTSIntroduction.....................................................................................................................................................5Notation........................................................................................................................................................10Prologue. Partial differential equations of first order. Maxwell's equations....................................................11§1. Partial differential equations of first order...............................................................................................11§2. Maxwell's equations................................................................................................................................14Chapter I. Small solutions of the relativistic Vlasov-Maxwell system..............................................................20§3. Definition of the problem.........................................................................................................................21§4. A representation theorem for Q..............................................................................................................26§5. Representation of the derivatives of QK.................................................................................................32§6. The existence and uniqueness theorem for small solutions....................................................................36Chapter II. Global solutions of the modified relativistic and nonrelativistic Vlasov-Maxwell system................41§7. An existence and uniqueness theorem...................................................................................................41§8. The initial-value problem for the modified relativistic (and nonrelativistic) Vlasov-Maxwell system..........47Appendix A...................................................................................................................................................56Appendix B...................................................................................................................................................57References...................................................................................................................................................59
@book{bwmeta1.element.zamlynska-c79c6366-142e-4a58-b9b8-d2a8e9d852f4,
author = {E. Horst},
title = {Global solutions of the relativistic Vlasov-Maxwell system of plasma physics},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1990},
zbl = {0725.35105},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-c79c6366-142e-4a58-b9b8-d2a8e9d852f4}
}
E. Horst. Global solutions of the relativistic Vlasov-Maxwell system of plasma physics. GDML_Books (1990), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-c79c6366-142e-4a58-b9b8-d2a8e9d852f4/