论文标题
在3D相对论弗拉索夫 - 麦克斯韦系统上
On the 3D Relativistic Vlasov-Maxwell System with large Maxwell field
论文作者
论文摘要
本文致力于在三个空间维度上研究相对论弗拉索夫 - 马克斯韦尔系统。对于一类大的初始数据，我们证明了具有尖锐衰减估计值的经典解决方案的全球存在。最初的麦克斯韦字段被允许任意大，并且假定初始密度分布很小，并且腐烂，费率$（1+ | x |+| V |）^{ - 9 - } $。特别是，对初始数据的支持没有限制。
This paper is devoted to the study of relativistic Vlasov-Maxwell system in three space dimension. For a class of large initial data, we prove the global existence of classical solution with sharp decay estimate. The initial Maxwell field is allowed to be arbitrarily large and the initial density distribution is assumed to be small and decay with rate $(1+|x|+|v|)^{-9-}$. In particular, there is no restriction on the support of the initial data.
