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摘要
The global existence of solutions to the relativistic Vlasov-Maxwell system given sufficiently regular finite energy initial data is a longstanding open problem. The main result of Glassey and Strauss (Arch Ration Mech Anal 92:59-90, 1986) shows that a solution (f, E, B) remains C (1) as long as the momentum support of f remains bounded. Alternate proofs were later given by Bouchut et al. (Arch Ration Mech Anal 170:1-15, 2003) and Klainerman and Staffilani (Commun Pure Appl Anal 1:103-125, 2002). We show that only the boundedness of the momentum support of f after projecting to any two dimensional plane is needed for (f, E, B) to remain C (1).
- 出版日期2014-11
