On global dynamics of the Maxwell–Klein–Gordon equations

  title={On global dynamics of the Maxwell–Klein–Gordon equations},
  author={Shi-Zheng Yang and Pin Yu},
  journal={Cambridge Journal of Mathematics},
  • Shi-Zheng Yang, P. Yu
  • Published 30 March 2018
  • Mathematics, Physics
  • Cambridge Journal of Mathematics
On the three dimensional Euclidean space, for data with finite energy, it is well-known that the Maxwell-Klein-Gordon equations admit global solutions. However, the asymptotic behaviours of the solutions for the data with non-vanishing charge and arbitrary large size are unknown. It is conjectured that the solutions disperse as linear waves and enjoy the so-called peeling properties for pointwise estimates. We provide a gauge independent proof of the conjecture. 
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